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Finding the Third Proportional to 49,581.84 and 109,005.19

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Solution

The third proportional to 49,581.84 and 109,005.19 is: 239,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,581.84 : 109,005.19 = 109,005.19 : x
  2. Step 2: Convert to fraction form
    49,581.84/109,005.19 = 109,005.19/x
  3. Step 3: Cross multiply
    49,581.84x = 109,005.19 × 109,005.19
  4. Step 4: Simplify right side
    49,581.84x = 11,882,130,901.91
  5. Step 5: Solve for x
    x = 11,882,130,901.91/49,581.84
  6. Step 6: Final answer
    x = 239,646.81

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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.