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Finding the Third Proportional to 89,883.13 and 195,044.88

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Solution

The third proportional to 89,883.13 and 195,044.88 is: 423,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,883.13 : 195,044.88 = 195,044.88 : x
  2. Step 2: Convert to fraction form
    89,883.13/195,044.88 = 195,044.88/x
  3. Step 3: Cross multiply
    89,883.13x = 195,044.88 × 195,044.88
  4. Step 4: Simplify right side
    89,883.13x = 38,042,503,263.77
  5. Step 5: Solve for x
    x = 38,042,503,263.77/89,883.13
  6. Step 6: Final answer
    x = 423,244.11

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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.