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Finding the Third Proportional to 206,958,864 and 344,910,680

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Solution

The third proportional to 206,958,864 and 344,910,680 is: 574,816,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958,864 : 344,910,680 = 344,910,680 : x
  2. Step 2: Convert to fraction form
    206,958,864/344,910,680 = 344,910,680/x
  3. Step 3: Cross multiply
    206,958,864x = 344,910,680 × 344,910,680
  4. Step 4: Simplify right side
    206,958,864x = 118,963,377,178,062,400
  5. Step 5: Solve for x
    x = 118,963,377,178,062,400/206,958,864
  6. Step 6: Final answer
    x = 574,816,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.