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Finding the Third Proportional to 132,595,524 and 289,276,452

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Solution

The third proportional to 132,595,524 and 289,276,452 is: 631,098,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,595,524 : 289,276,452 = 289,276,452 : x
  2. Step 2: Convert to fraction form
    132,595,524/289,276,452 = 289,276,452/x
  3. Step 3: Cross multiply
    132,595,524x = 289,276,452 × 289,276,452
  4. Step 4: Simplify right side
    132,595,524x = 83,680,865,681,708,304
  5. Step 5: Solve for x
    x = 83,680,865,681,708,304/132,595,524
  6. Step 6: Final answer
    x = 631,098,721.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.