Ohio is about 27 times bigger than South Georgia and South Sandwich Islands.

South Georgia and South Sandwich Islands is approximately 3,903 sq km, while Ohio is approximately 106,056 sq km, making Ohio 2,617% larger than South Georgia and South Sandwich Islands.
Tip: This to-scale comparison of South Georgia and South Sandwich Islands vs. Ohio uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: Ohio vs. South Georgia and South Sandwich Islands