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Finding the Third Proportional to 132,050,829 and 289,610,799

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Solution

The third proportional to 132,050,829 and 289,610,799 is: 635,167,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050,829 : 289,610,799 = 289,610,799 : x
  2. Step 2: Convert to fraction form
    132,050,829/289,610,799 = 289,610,799/x
  3. Step 3: Cross multiply
    132,050,829x = 289,610,799 × 289,610,799
  4. Step 4: Simplify right side
    132,050,829x = 83,874,414,897,418,400
  5. Step 5: Solve for x
    x = 83,874,414,897,418,400/132,050,829
  6. Step 6: Final answer
    x = 635,167,651.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.