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Finding the Third Proportional to 107,009.50 and 225,948.75

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Solution

The third proportional to 107,009.50 and 225,948.75 is: 477,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,009.50 : 225,948.75 = 225,948.75 : x
  2. Step 2: Convert to fraction form
    107,009.50/225,948.75 = 225,948.75/x
  3. Step 3: Cross multiply
    107,009.50x = 225,948.75 × 225,948.75
  4. Step 4: Simplify right side
    107,009.50x = 51,052,837,626.56
  5. Step 5: Solve for x
    x = 51,052,837,626.56/107,009.50
  6. Step 6: Final answer
    x = 477,086.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.