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Finding the Third Proportional to 49,324.13 and 106,947.94

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Solution

The third proportional to 49,324.13 and 106,947.94 is: 231,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324.13 : 106,947.94 = 106,947.94 : x
  2. Step 2: Convert to fraction form
    49,324.13/106,947.94 = 106,947.94/x
  3. Step 3: Cross multiply
    49,324.13x = 106,947.94 × 106,947.94
  4. Step 4: Simplify right side
    49,324.13x = 11,437,861,335.50
  5. Step 5: Solve for x
    x = 11,437,861,335.50/49,324.13
  6. Step 6: Final answer
    x = 231,891.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.