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Finding the Third Proportional to 132,050,825 and 289,610,791

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Solution

The third proportional to 132,050,825 and 289,610,791 is: 635,167,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050,825 : 289,610,791 = 289,610,791 : x
  2. Step 2: Convert to fraction form
    132,050,825/289,610,791 = 289,610,791/x
  3. Step 3: Cross multiply
    132,050,825x = 289,610,791 × 289,610,791
  4. Step 4: Simplify right side
    132,050,825x = 83,874,410,263,645,680
  5. Step 5: Solve for x
    x = 83,874,410,263,645,680/132,050,825
  6. Step 6: Final answer
    x = 635,167,635.37

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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.