If I had a lot more time on my hands, and decided to buy a really big shovel, I could end up in the Indian Ocean:

Assuming you didn't die of heat exhaustion from the earth's core first, you'd probably drown if you dug to the other side of the earth from Chaska.

You can dig to the other side of the earth using the Dig to the Other Side of the Earth Google Maps mashup. I got to this mashup from googlemapsmania.blogspot.com after hearing about it on MPR the other day.