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Finding the Third Proportional to 133,960,747.13 and 288,447,787.69

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Solution

The third proportional to 133,960,747.13 and 288,447,787.69 is: 621,093,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960,747.13 : 288,447,787.69 = 288,447,787.69 : x
  2. Step 2: Convert to fraction form
    133,960,747.13/288,447,787.69 = 288,447,787.69/x
  3. Step 3: Cross multiply
    133,960,747.13x = 288,447,787.69 × 288,447,787.69
  4. Step 4: Simplify right side
    133,960,747.13x = 83,202,126,221,813,072
  5. Step 5: Solve for x
    x = 83,202,126,221,813,072/133,960,747.13
  6. Step 6: Final answer
    x = 621,093,327.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.