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Finding the Third Proportional to 87,836,347 and 190,793,398

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Solution

The third proportional to 87,836,347 and 190,793,398 is: 414,431,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,836,347 : 190,793,398 = 190,793,398 : x
  2. Step 2: Convert to fraction form
    87,836,347/190,793,398 = 190,793,398/x
  3. Step 3: Cross multiply
    87,836,347x = 190,793,398 × 190,793,398
  4. Step 4: Simplify right side
    87,836,347x = 36,402,120,720,386,400
  5. Step 5: Solve for x
    x = 36,402,120,720,386,400/87,836,347
  6. Step 6: Final answer
    x = 414,431,177.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.