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Finding the Third Proportional to 132,050,874 and 289,610,928

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Solution

The third proportional to 132,050,874 and 289,610,928 is: 635,168,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050,874 : 289,610,928 = 289,610,928 : x
  2. Step 2: Convert to fraction form
    132,050,874/289,610,928 = 289,610,928/x
  3. Step 3: Cross multiply
    132,050,874x = 289,610,928 × 289,610,928
  4. Step 4: Simplify right side
    132,050,874x = 83,874,489,617,021,184
  5. Step 5: Solve for x
    x = 83,874,489,617,021,184/132,050,874
  6. Step 6: Final answer
    x = 635,168,000.61

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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.