It's not about the basic math but negotiating if they can do better, also saying that they shouldn't even bother proposing you something in the lower part of the range.
I deal with non-US shops as well, it is surprising how many of them can and do pay US rates when asked.
Also, usually the high bound is set to catch desperate overqualifieds into the job competing process, not to be actually paid.
YMMV, speaking from experience in non-US job market culture.