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Finding the Third Proportional to 100,418,480,100 and 218,488,039,398

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Solution

The third proportional to 100,418,480,100 and 218,488,039,398 is: 475,380,859,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418,480,100 : 218,488,039,398 = 218,488,039,398 : x
  2. Step 2: Convert to fraction form
    100,418,480,100/218,488,039,398 = 218,488,039,398/x
  3. Step 3: Cross multiply
    100,418,480,100x = 218,488,039,398 × 218,488,039,398
  4. Step 4: Simplify right side
    100,418,480,100x = 47,737,023,359,982,002,765,824
  5. Step 5: Solve for x
    x = 47,737,023,359,982,002,765,824/100,418,480,100
  6. Step 6: Final answer
    x = 475,380,859,304.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.