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Finding the Third Proportional to 107,581.50 and 225,814.50

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Solution

The third proportional to 107,581.50 and 225,814.50 is: 473,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,581.50 : 225,814.50 = 225,814.50 : x
  2. Step 2: Convert to fraction form
    107,581.50/225,814.50 = 225,814.50/x
  3. Step 3: Cross multiply
    107,581.50x = 225,814.50 × 225,814.50
  4. Step 4: Simplify right side
    107,581.50x = 50,992,188,410.25
  5. Step 5: Solve for x
    x = 50,992,188,410.25/107,581.50
  6. Step 6: Final answer
    x = 473,986.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.