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Finding the Third Proportional to 101,097,478 and 218,304,398

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Solution

The third proportional to 101,097,478 and 218,304,398 is: 471,394,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,478 : 218,304,398 = 218,304,398 : x
  2. Step 2: Convert to fraction form
    101,097,478/218,304,398 = 218,304,398/x
  3. Step 3: Cross multiply
    101,097,478x = 218,304,398 × 218,304,398
  4. Step 4: Simplify right side
    101,097,478x = 47,656,810,186,142,400
  5. Step 5: Solve for x
    x = 47,656,810,186,142,400/101,097,478
  6. Step 6: Final answer
    x = 471,394,649.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.