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Finding the Third Proportional to 48,063.38 and 101,665.13

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Solution

The third proportional to 48,063.38 and 101,665.13 is: 215,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,063.38 : 101,665.13 = 101,665.13 : x
  2. Step 2: Convert to fraction form
    48,063.38/101,665.13 = 101,665.13/x
  3. Step 3: Cross multiply
    48,063.38x = 101,665.13 × 101,665.13
  4. Step 4: Simplify right side
    48,063.38x = 10,335,797,641.27
  5. Step 5: Solve for x
    x = 10,335,797,641.27/48,063.38
  6. Step 6: Final answer
    x = 215,045.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.