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Finding the Third Proportional to 49,906.13 and 108,119.81

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Solution

The third proportional to 49,906.13 and 108,119.81 is: 234,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906.13 : 108,119.81 = 108,119.81 : x
  2. Step 2: Convert to fraction form
    49,906.13/108,119.81 = 108,119.81/x
  3. Step 3: Cross multiply
    49,906.13x = 108,119.81 × 108,119.81
  4. Step 4: Simplify right side
    49,906.13x = 11,689,893,855.04
  5. Step 5: Solve for x
    x = 11,689,893,855.04/49,906.13
  6. Step 6: Final answer
    x = 234,237.66

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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.