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Finding the Third Proportional to 117,201,766 and 172,414,972

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Solution

The third proportional to 117,201,766 and 172,414,972 is: 253,638,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,766 : 172,414,972 = 172,414,972 : x
  2. Step 2: Convert to fraction form
    117,201,766/172,414,972 = 172,414,972/x
  3. Step 3: Cross multiply
    117,201,766x = 172,414,972 × 172,414,972
  4. Step 4: Simplify right side
    117,201,766x = 29,726,922,569,760,784
  5. Step 5: Solve for x
    x = 29,726,922,569,760,784/117,201,766
  6. Step 6: Final answer
    x = 253,638,862.15

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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.