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Finding the Third Proportional to 48,481.88 and 102,832.88

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Solution

The third proportional to 48,481.88 and 102,832.88 is: 218,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481.88 : 102,832.88 = 102,832.88 : x
  2. Step 2: Convert to fraction form
    48,481.88/102,832.88 = 102,832.88/x
  3. Step 3: Cross multiply
    48,481.88x = 102,832.88 × 102,832.88
  4. Step 4: Simplify right side
    48,481.88x = 10,574,600,180.77
  5. Step 5: Solve for x
    x = 10,574,600,180.77/48,481.88
  6. Step 6: Final answer
    x = 218,114.51

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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.