Convert from hair's breadth to pie [Texas]

Unit Definition (hair's breadth)
The hair's breadth is a common informal unit of distance. Human hairs vary considerably in width, depending on age, color, genetics, and other factors. An average hair is approximately 70 to 100 micrometers (µm) in diameter, so, as a rough standard, a hair's breadth is 100 µm or 0.1 millimeter (mm).

Unit Definition (pie [Texas])
The pie is a traditional foot of Spain. The pie equals 1/3 vara or 12 pulgadas. In Texas, 1/3 vara is 11 1/9 inches or 28.22 centimeters.