The balloon goes the other way. Wings do the same thing except they move the air by deflecting it rather than by squeezing it out in a jet. Stick your hand out in front of you and sweep it sideways while held at about a 30-degree angle. Imagine you are sweeping it through mashed potatoes. Piling up under it and being pushed ahead, of course.
Air does the same thing.
This pileup of air creates an area of high pressure below and ahead of the wing. Moving air downwards is the wing's primary function. The air under a lifting surface is also dragged slightly in the direction of travel, just like the mashed potatoes. The speed of this movement is subtracted from the airspeed. Thus, air is flowing slower beneath the bottom of the wing than the plane is moving.