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Finding the Third Proportional to 136,425,469 and 209,697,950

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Solution

The third proportional to 136,425,469 and 209,697,950 is: 322,324,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,425,469 : 209,697,950 = 209,697,950 : x
  2. Step 2: Convert to fraction form
    136,425,469/209,697,950 = 209,697,950/x
  3. Step 3: Cross multiply
    136,425,469x = 209,697,950 × 209,697,950
  4. Step 4: Simplify right side
    136,425,469x = 43,973,230,234,202,496
  5. Step 5: Solve for x
    x = 43,973,230,234,202,496/136,425,469
  6. Step 6: Final answer
    x = 322,324,200.58

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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.