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Finding the Third Proportional to 48,997.75 and 103,883.25

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Solution

The third proportional to 48,997.75 and 103,883.25 is: 220,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,997.75 : 103,883.25 = 103,883.25 : x
  2. Step 2: Convert to fraction form
    48,997.75/103,883.25 = 103,883.25/x
  3. Step 3: Cross multiply
    48,997.75x = 103,883.25 × 103,883.25
  4. Step 4: Simplify right side
    48,997.75x = 10,791,729,630.56
  5. Step 5: Solve for x
    x = 10,791,729,630.56/48,997.75
  6. Step 6: Final answer
    x = 220,249.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.