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Finding the Third Proportional to 40,997 and 90,019

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Solution

The third proportional to 40,997 and 90,019 is: 197,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,997 : 90,019 = 90,019 : x
  2. Step 2: Convert to fraction form
    40,997/90,019 = 90,019/x
  3. Step 3: Cross multiply
    40,997x = 90,019 × 90,019
  4. Step 4: Simplify right side
    40,997x = 8,103,420,361
  5. Step 5: Solve for x
    x = 8,103,420,361/40,997
  6. Step 6: Final answer
    x = 197,658.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.