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Finding the Third Proportional to 218,709,998 and 307,642,701

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Solution

The third proportional to 218,709,998 and 307,642,701 is: 432,737,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709,998 : 307,642,701 = 307,642,701 : x
  2. Step 2: Convert to fraction form
    218,709,998/307,642,701 = 307,642,701/x
  3. Step 3: Cross multiply
    218,709,998x = 307,642,701 × 307,642,701
  4. Step 4: Simplify right side
    218,709,998x = 94,644,031,478,575,408
  5. Step 5: Solve for x
    x = 94,644,031,478,575,408/218,709,998
  6. Step 6: Final answer
    x = 432,737,562.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.