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Finding the Third Proportional to 40,778.44 and 88,560.84

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Solution

The third proportional to 40,778.44 and 88,560.84 is: 192,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,778.44 : 88,560.84 = 88,560.84 : x
  2. Step 2: Convert to fraction form
    40,778.44/88,560.84 = 88,560.84/x
  3. Step 3: Cross multiply
    40,778.44x = 88,560.84 × 88,560.84
  4. Step 4: Simplify right side
    40,778.44x = 7,843,023,045.71
  5. Step 5: Solve for x
    x = 7,843,023,045.71/40,778.44
  6. Step 6: Final answer
    x = 192,332.60

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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.