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Finding the Third Proportional to 97,842,497 and 209,690,860

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Solution

The third proportional to 97,842,497 and 209,690,860 is: 449,398,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842,497 : 209,690,860 = 209,690,860 : x
  2. Step 2: Convert to fraction form
    97,842,497/209,690,860 = 209,690,860/x
  3. Step 3: Cross multiply
    97,842,497x = 209,690,860 × 209,690,860
  4. Step 4: Simplify right side
    97,842,497x = 43,970,256,767,539,600
  5. Step 5: Solve for x
    x = 43,970,256,767,539,600/97,842,497
  6. Step 6: Final answer
    x = 449,398,350.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.