Question: What country do both Geauga Lake and Six Flags have in comman?

Context paragraphs:
Villain (roller coaster): Villain was a wooden roller coaster at the Geauga Lake amusement park in Aurora, Ohio.  It was designed by the now-defunct Custom Coasters International (CCI).  The ride opened as a part of the four-coaster expansion Six Flags brought to Geauga Lake between 1999 and 2000.  It was a wooden hybrid, which means it had steel supports but had wood track.  When it originally opened, the ride was moderately smooth, but by 2001 it deteriorated and was re-tracked during the off-season.  This was the second CCI coaster to feature a "trick track" element (the first was Shivering Timbers at Michigan's Adventure) which the track banks from one side to another while staying otherwise on a straight path.

Aurora station (Ohio): Aurora is the former train station serving the residents of Aurora, Ohio, located within Portage County, Ohio, USA.  The station was constructed in 1872 by the New York, Pennsylvania and Ohio Railroad, which had absorbed the former Cleveland and Mahoning Valley Railroad, which ran from Cleveland, Ohio to Leavittsburg, Ohio.  The next station to the northwest was Geauga Lake, serving the Geauga Lake amusement park.  The next station to the southeast was Mantua.  The line was entirely acquired by the Erie Railroad in 1941 after dissolution of the New York, Pennsylvania and Ohio.  The last train left Aurora station on January 14, 1977.  After the line was abandoned, the rails were taken up.  The station depot, one of three still standing along the branch (along with Solon and Mantua), was listed in the National Register of Historic Places on May 22, 1986.

Geauga Lake: Geauga Lake is an abandoned theme park in Bainbridge Township and Aurora, Ohio, United States.  Established in 1887 in what had been a local recreation area adjacent to a lake of the same name, the first amusement ride was added in 1889, and the park's first roller coaster – later known as the Big Dipper – was built in 1925.  In 1969, the park was sold to Funtime, Inc., and was expanded over the years with additional rides and amenities.  Further expansion occurred in the mid and late 1990s after Funtime's acquisition by Premier Parks in 1995.  Prior to the 2000 season, soon after Premier Parks acquired Six Flags, the park was re-branded as Six Flags Ohio and four new roller coasters were added.  A year later, Six Flags bought the adjacent SeaWorld Ohio and combined the two parks under the name Six Flags Worlds of Adventure.

Geauga Lake (lake): Geauga Lake, first known as Picnic Lake, is a natural lake located in Northeast Ohio, in the United States, on the border between the city of Aurora in Portage County and Bainbridge Township in Geauga County, near Cleveland.

Six Flags: Six Flags, officially Six Flags Entertainment Corporation, is an amusement park corporation based in the United States, with properties in the US, Canada, and Mexico.  It is the largest amusement park company in the world, based on the number of properties owned, and is ranked sixth in terms of attendance.  The company maintains twenty properties throughout North America including theme parks, thrill parks, water parks, and family entertainment centers.  In 2016, Six Flags properties hosted over 30.1 million guests.

Thunderhawk (Michigan's Adventure): Thunderhawk is an inverted roller coaster located at Michigan's Adventure amusement park in Muskegon, Michigan.  Designed and built by Vekoma, the roller coaster debuted in 1998 as Serial Thriller at Geauga Lake in Aurora, Ohio.  It was renamed Thunderhawk in 2004 when Cedar Fair took ownership of the park.  Following Geauga Lake's closure in 2007, Thunderhawk was dismantled and moved to Michigan's Adventure in time for the 2008 season, where it became the first inverted roller coaster in Michigan.

The Joker (S&amp;S Worldwide): The Joker is a roller coaster located at Six Flags Great Adventure, Six Flags Great America, Six Flags New England, and Six Flags Over Texas.  Built by S&S Worldwide, an American ride manufacturer, the coaster is one of their "Free Spin" models.  Since 2016, Six Flags has installed The Joker in four of their parks.

Possessed (roller coaster): Possessed is a launched steel Inverted roller coaster located at Dorney Park & Wildwater Kingdom in Allentown, Pennsylvania.  It was located at Geauga Lake from 2000 to 2006.  The coaster has had four names: "Superman: Ultimate Escape" (2000 to 2003) "Steel Venom" (2004 to 2006), "Voodoo" (2008), and "Possessed" (2009 to present).  Possessed is nearly identical to Steel Venom at Valleyfair, and similar to at Six Flags Great America.

Beaver Land Mine Ride: Beaver Land Mine Ride was a steel roller coaster at Geauga Lake in Aurora, Ohio.  It was a standard production model junior coaster from Zierer.  It was known for having the longest train of any coaster (with 20 two-seat cars) at Geauga Lake, and it was also the only coaster in the park to complete a full circuit twice while in operation.  Its height restrictions were among the most accommodating in the whole park.

Raging Wolf Bobs: Raging Wolf Bobs was a wooden roller coaster located at Geauga Lake amusement park in Ohio.  Designed by Curtis D. Summers to resemble Bobs, a popular roller coaster at the defunct Riverview Park in Chicago, Raging Wolf Bobs was constructed by the Dinn Corporation and opened to the public in 1988.  It operated until June 16, 2007, following an accident involving the derailing of a train that unexpectedly rolled backward on one of the track's hills.  Later that season, park owners Cedar Fair announced the permanent closure of Geauga Lake, sealing the fate of Raging Wolf Bobs.

Supporting paragraphs: Geauga Lake Six Flags
Answer: United States