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Finding the Third Proportional to 48,198.38 and 99,471.38

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Solution

The third proportional to 48,198.38 and 99,471.38 is: 205,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198.38 : 99,471.38 = 99,471.38 : x
  2. Step 2: Convert to fraction form
    48,198.38/99,471.38 = 99,471.38/x
  3. Step 3: Cross multiply
    48,198.38x = 99,471.38 × 99,471.38
  4. Step 4: Simplify right side
    48,198.38x = 9,894,554,444.39
  5. Step 5: Solve for x
    x = 9,894,554,444.39/48,198.38
  6. Step 6: Final answer
    x = 205,288.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.