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Finding the Third Proportional to 40,842.84 and 88,471.13

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Solution

The third proportional to 40,842.84 and 88,471.13 is: 191,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842.84 : 88,471.13 = 88,471.13 : x
  2. Step 2: Convert to fraction form
    40,842.84/88,471.13 = 88,471.13/x
  3. Step 3: Cross multiply
    40,842.84x = 88,471.13 × 88,471.13
  4. Step 4: Simplify right side
    40,842.84x = 7,827,139,958.77
  5. Step 5: Solve for x
    x = 7,827,139,958.77/40,842.84
  6. Step 6: Final answer
    x = 191,640.43

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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.