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Finding the Third Proportional to 48,997.88 and 107,337

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Solution

The third proportional to 48,997.88 and 107,337 is: 235,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,997.88 : 107,337 = 107,337 : x
  2. Step 2: Convert to fraction form
    48,997.88/107,337 = 107,337/x
  3. Step 3: Cross multiply
    48,997.88x = 107,337 × 107,337
  4. Step 4: Simplify right side
    48,997.88x = 11,521,231,569
  5. Step 5: Solve for x
    x = 11,521,231,569/48,997.88
  6. Step 6: Final answer
    x = 235,137.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.