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Finding the Third Proportional to 135,361,956.50 and 206,215,542.50

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Solution

The third proportional to 135,361,956.50 and 206,215,542.50 is: 314,156,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,361,956.50 : 206,215,542.50 = 206,215,542.50 : x
  2. Step 2: Convert to fraction form
    135,361,956.50/206,215,542.50 = 206,215,542.50/x
  3. Step 3: Cross multiply
    135,361,956.50x = 206,215,542.50 × 206,215,542.50
  4. Step 4: Simplify right side
    135,361,956.50x = 42,524,849,968,569,304
  5. Step 5: Solve for x
    x = 42,524,849,968,569,304/135,361,956.50
  6. Step 6: Final answer
    x = 314,156,584.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.