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Finding the Third Proportional to 48,198.38 and 100,760.63

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Solution

The third proportional to 48,198.38 and 100,760.63 is: 210,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198.38 : 100,760.63 = 100,760.63 : x
  2. Step 2: Convert to fraction form
    48,198.38/100,760.63 = 100,760.63/x
  3. Step 3: Cross multiply
    48,198.38x = 100,760.63 × 100,760.63
  4. Step 4: Simplify right side
    48,198.38x = 10,152,703,550.39
  5. Step 5: Solve for x
    x = 10,152,703,550.39/48,198.38
  6. Step 6: Final answer
    x = 210,644.10

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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.