We know that we can always write block-wise magic squares of any order except for the orders of type p and 2p, where p is a prime number. On the other hand we can always write bordered magic squares of any order. The aims of this work is to combine the both, i.e., bordered and block-wise magic squares, for the magic squares of prime and double prime orders. We call it as block-bordered magic squares. The magic squares considered in this work are of orders orders 41, 43, 46, 47 and 51. In order to bring these block-bordered magic squares, we make use of author's previous works (work1, work2) on block-wise constructions of magics squares, such as, of orders, 39, 40, 42, 44, 45, 49 and 51. This is the third part of the work. The first and second parts (part1, part2) works with orders, 10, 11, 13, 14, 17, 19, 22, 26, 29, 31, 34, 37 and 38. The forth part of the work shall be on magic squares of orders 58, 59 and 61.