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Finding the Third Proportional to 44,965.92 and 98,983.11

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Solution

The third proportional to 44,965.92 and 98,983.11 is: 217,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,965.92 : 98,983.11 = 98,983.11 : x
  2. Step 2: Convert to fraction form
    44,965.92/98,983.11 = 98,983.11/x
  3. Step 3: Cross multiply
    44,965.92x = 98,983.11 × 98,983.11
  4. Step 4: Simplify right side
    44,965.92x = 9,797,655,554.89
  5. Step 5: Solve for x
    x = 9,797,655,554.89/44,965.92
  6. Step 6: Final answer
    x = 217,890.71

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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.