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The halfway point from Fort Worth, Texas to North Carolina is Eutaw, Alabama.
One halfway point between Fort Worth, Texas and Sioux Falls, South Dakota (depending on your route) is Emporia, Kansas.
Hewitt, Texas
The halfway point between Buffalo, Texas and Columbus, Mississippi is Belcher, Louisiana
The halfway point between Texas (TX) and Australia is Omoka, Cook Islands.
Massachusetts
The state line of Louisiana and Mississippi is about the halfway point.
A rough estimate would be Amarillo, Texas.
Kansas
Nashville, TN is the approximate halfway point.
I'll assume you mean the Waco in Texas and the Denver in Colorado. There are at least three others of each. The halfway point is Amarillo. There's only one of that.
The halfway point is Longyearbyen, Svalbard and Jan Mayen, Norway.