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Finding the Third Proportional to 49,198.50 and 107,853.75

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Solution

The third proportional to 49,198.50 and 107,853.75 is: 236,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.50 : 107,853.75 = 107,853.75 : x
  2. Step 2: Convert to fraction form
    49,198.50/107,853.75 = 107,853.75/x
  3. Step 3: Cross multiply
    49,198.50x = 107,853.75 × 107,853.75
  4. Step 4: Simplify right side
    49,198.50x = 11,632,431,389.06
  5. Step 5: Solve for x
    x = 11,632,431,389.06/49,198.50
  6. Step 6: Final answer
    x = 236,438.74

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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.