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Finding the Third Proportional to 48,619.88 and 100,614.75

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Solution

The third proportional to 48,619.88 and 100,614.75 is: 208,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,619.88 : 100,614.75 = 100,614.75 : x
  2. Step 2: Convert to fraction form
    48,619.88/100,614.75 = 100,614.75/x
  3. Step 3: Cross multiply
    48,619.88x = 100,614.75 × 100,614.75
  4. Step 4: Simplify right side
    48,619.88x = 10,123,327,917.56
  5. Step 5: Solve for x
    x = 10,123,327,917.56/48,619.88
  6. Step 6: Final answer
    x = 208,213.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.