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Finding the Third Proportional to 136,363,882.50 and 204,703,287.75

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Solution

The third proportional to 136,363,882.50 and 204,703,287.75 is: 307,291,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,363,882.50 : 204,703,287.75 = 204,703,287.75 : x
  2. Step 2: Convert to fraction form
    136,363,882.50/204,703,287.75 = 204,703,287.75/x
  3. Step 3: Cross multiply
    136,363,882.50x = 204,703,287.75 × 204,703,287.75
  4. Step 4: Simplify right side
    136,363,882.50x = 41,903,436,015,659,304
  5. Step 5: Solve for x
    x = 41,903,436,015,659,304/136,363,882.50
  6. Step 6: Final answer
    x = 307,291,309.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.