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Finding the Third Proportional to 47,486.25 and 101,958.75

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Solution

The third proportional to 47,486.25 and 101,958.75 is: 218,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486.25 : 101,958.75 = 101,958.75 : x
  2. Step 2: Convert to fraction form
    47,486.25/101,958.75 = 101,958.75/x
  3. Step 3: Cross multiply
    47,486.25x = 101,958.75 × 101,958.75
  4. Step 4: Simplify right side
    47,486.25x = 10,395,586,701.56
  5. Step 5: Solve for x
    x = 10,395,586,701.56/47,486.25
  6. Step 6: Final answer
    x = 218,917.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.