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Finding the Third Proportional to 83,801,800 and 180,411,098

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Solution

The third proportional to 83,801,800 and 180,411,098 is: 388,394,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801,800 : 180,411,098 = 180,411,098 : x
  2. Step 2: Convert to fraction form
    83,801,800/180,411,098 = 180,411,098/x
  3. Step 3: Cross multiply
    83,801,800x = 180,411,098 × 180,411,098
  4. Step 4: Simplify right side
    83,801,800x = 32,548,164,281,565,604
  5. Step 5: Solve for x
    x = 32,548,164,281,565,604/83,801,800
  6. Step 6: Final answer
    x = 388,394,572.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.