Convert from smoot to gnat's eye

Unit Definition (smoot)
A smoot is a unit of distance (or "length", as physical scientists say) used for measuring the Harvard Bridge. It is named after an MIT fraternity pledge at Lambda Chi Alpha fraternity, Oliver R. Smoot (class of 1962), who in October, 1958 was rolled head over heels by his fraternity brothers to measure the length of the bridge. The smoot is equal to his height (five feet and seven inches -- 1.70 m), and the bridge's length was measured to be "364.4 smoots plus one ear".

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).