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Finding the Third Proportional to 117,220,455.75 and 172,318,511.63

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Solution

The third proportional to 117,220,455.75 and 172,318,511.63 is: 253,314,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,220,455.75 : 172,318,511.63 = 172,318,511.63 : x
  2. Step 2: Convert to fraction form
    117,220,455.75/172,318,511.63 = 172,318,511.63/x
  3. Step 3: Cross multiply
    117,220,455.75x = 172,318,511.63 × 172,318,511.63
  4. Step 4: Simplify right side
    117,220,455.75x = 29,693,669,448,655,260
  5. Step 5: Solve for x
    x = 29,693,669,448,655,260/117,220,455.75
  6. Step 6: Final answer
    x = 253,314,741.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.