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Finding the Third Proportional to 48,979.50 and 102,198

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Solution

The third proportional to 48,979.50 and 102,198 is: 213,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,979.50 : 102,198 = 102,198 : x
  2. Step 2: Convert to fraction form
    48,979.50/102,198 = 102,198/x
  3. Step 3: Cross multiply
    48,979.50x = 102,198 × 102,198
  4. Step 4: Simplify right side
    48,979.50x = 10,444,431,204
  5. Step 5: Solve for x
    x = 10,444,431,204/48,979.50
  6. Step 6: Final answer
    x = 213,240.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.