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Finding the Third Proportional to 117,201,627 and 172,414,764

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Solution

The third proportional to 117,201,627 and 172,414,764 is: 253,638,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,627 : 172,414,764 = 172,414,764 : x
  2. Step 2: Convert to fraction form
    117,201,627/172,414,764 = 172,414,764/x
  3. Step 3: Cross multiply
    117,201,627x = 172,414,764 × 172,414,764
  4. Step 4: Simplify right side
    117,201,627x = 29,726,850,845,175,696
  5. Step 5: Solve for x
    x = 29,726,850,845,175,696/117,201,627
  6. Step 6: Final answer
    x = 253,638,550.98

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Why These Related Problems?

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