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Finding the Third Proportional to 117,201,586 and 172,414,716

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Solution

The third proportional to 117,201,586 and 172,414,716 is: 253,638,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,586 : 172,414,716 = 172,414,716 : x
  2. Step 2: Convert to fraction form
    117,201,586/172,414,716 = 172,414,716/x
  3. Step 3: Cross multiply
    117,201,586x = 172,414,716 × 172,414,716
  4. Step 4: Simplify right side
    117,201,586x = 29,726,834,293,360,656
  5. Step 5: Solve for x
    x = 29,726,834,293,360,656/117,201,586
  6. Step 6: Final answer
    x = 253,638,498.49

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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.