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Finding the Third Proportional to 136,425,384 and 209,697,822

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Solution

The third proportional to 136,425,384 and 209,697,822 is: 322,324,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,425,384 : 209,697,822 = 209,697,822 : x
  2. Step 2: Convert to fraction form
    136,425,384/209,697,822 = 209,697,822/x
  3. Step 3: Cross multiply
    136,425,384x = 209,697,822 × 209,697,822
  4. Step 4: Simplify right side
    136,425,384x = 43,973,176,551,543,680
  5. Step 5: Solve for x
    x = 43,973,176,551,543,680/136,425,384
  6. Step 6: Final answer
    x = 322,324,007.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.