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Finding the Third Proportional to 132,049,176 and 289,607,568

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Solution

The third proportional to 132,049,176 and 289,607,568 is: 635,161,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,049,176 : 289,607,568 = 289,607,568 : x
  2. Step 2: Convert to fraction form
    132,049,176/289,607,568 = 289,607,568/x
  3. Step 3: Cross multiply
    132,049,176x = 289,607,568 × 289,607,568
  4. Step 4: Simplify right side
    132,049,176x = 83,872,543,442,874,624
  5. Step 5: Solve for x
    x = 83,872,543,442,874,624/132,049,176
  6. Step 6: Final answer
    x = 635,161,429.88

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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.