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Finding the Third Proportional to 48,645.28 and 106,867.97

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Solution

The third proportional to 48,645.28 and 106,867.97 is: 234,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.28 : 106,867.97 = 106,867.97 : x
  2. Step 2: Convert to fraction form
    48,645.28/106,867.97 = 106,867.97/x
  3. Step 3: Cross multiply
    48,645.28x = 106,867.97 × 106,867.97
  4. Step 4: Simplify right side
    48,645.28x = 11,420,762,744.75
  5. Step 5: Solve for x
    x = 11,420,762,744.75/48,645.28
  6. Step 6: Final answer
    x = 234,776.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.