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Finding the Third Proportional to 181,353,923 and 393,498,209

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Solution

The third proportional to 181,353,923 and 393,498,209 is: 853,804,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,353,923 : 393,498,209 = 393,498,209 : x
  2. Step 2: Convert to fraction form
    181,353,923/393,498,209 = 393,498,209/x
  3. Step 3: Cross multiply
    181,353,923x = 393,498,209 × 393,498,209
  4. Step 4: Simplify right side
    181,353,923x = 154,840,840,486,207,680
  5. Step 5: Solve for x
    x = 154,840,840,486,207,680/181,353,923
  6. Step 6: Final answer
    x = 853,804,747.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.