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Finding the Third Proportional to 41,294.81 and 109,881.56

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Solution

The third proportional to 41,294.81 and 109,881.56 is: 292,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,294.81 : 109,881.56 = 109,881.56 : x
  2. Step 2: Convert to fraction form
    41,294.81/109,881.56 = 109,881.56/x
  3. Step 3: Cross multiply
    41,294.81x = 109,881.56 × 109,881.56
  4. Step 4: Simplify right side
    41,294.81x = 12,073,957,777.44
  5. Step 5: Solve for x
    x = 12,073,957,777.44/41,294.81
  6. Step 6: Final answer
    x = 292,384.37

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.