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Finding the Third Proportional to 40,500.56 and 88,264.13

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Solution

The third proportional to 40,500.56 and 88,264.13 is: 192,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,500.56 : 88,264.13 = 88,264.13 : x
  2. Step 2: Convert to fraction form
    40,500.56/88,264.13 = 88,264.13/x
  3. Step 3: Cross multiply
    40,500.56x = 88,264.13 × 88,264.13
  4. Step 4: Simplify right side
    40,500.56x = 7,790,555,762.02
  5. Step 5: Solve for x
    x = 7,790,555,762.02/40,500.56
  6. Step 6: Final answer
    x = 192,356.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.