Convert from gnat's eye to pik

Unit Definition (gnat's eye)
The gnat's eye is an idiomatic "unit" of distance; it's common to hear that something is "as small as a gnat's eye". In fact, the eyes of typical gnats tend to have diameters similar in size to a hair's breadth: roughly 100-150 micrometers (0.10-0.15 millimeters).

Unit Definition (pik)
The pik is a traditional unit of distance in the Eastern Mediterranean and Near East. The pik varied considerably but a typical value is about 28 inches (71 centimeters). This is an "arm" unit, like the Italian braccio and the Russian arshin.