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Finding the Third Proportional to 40,244.34 and 87,402.80

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Solution

The third proportional to 40,244.34 and 87,402.80 is: 189,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,244.34 : 87,402.80 = 87,402.80 : x
  2. Step 2: Convert to fraction form
    40,244.34/87,402.80 = 87,402.80/x
  3. Step 3: Cross multiply
    40,244.34x = 87,402.80 × 87,402.80
  4. Step 4: Simplify right side
    40,244.34x = 7,639,248,901.57
  5. Step 5: Solve for x
    x = 7,639,248,901.57/40,244.34
  6. Step 6: Final answer
    x = 189,821.68

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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.