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Finding the Third Proportional to 44,942.92 and 99,862.11

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Solution

The third proportional to 44,942.92 and 99,862.11 is: 221,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,942.92 : 99,862.11 = 99,862.11 : x
  2. Step 2: Convert to fraction form
    44,942.92/99,862.11 = 99,862.11/x
  3. Step 3: Cross multiply
    44,942.92x = 99,862.11 × 99,862.11
  4. Step 4: Simplify right side
    44,942.92x = 9,972,440,446.17
  5. Step 5: Solve for x
    x = 9,972,440,446.17/44,942.92
  6. Step 6: Final answer
    x = 221,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.