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Finding the Third Proportional to 107,096.50 and 235,213.25

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Solution

The third proportional to 107,096.50 and 235,213.25 is: 516,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,096.50 : 235,213.25 = 235,213.25 : x
  2. Step 2: Convert to fraction form
    107,096.50/235,213.25 = 235,213.25/x
  3. Step 3: Cross multiply
    107,096.50x = 235,213.25 × 235,213.25
  4. Step 4: Simplify right side
    107,096.50x = 55,325,272,975.56
  5. Step 5: Solve for x
    x = 55,325,272,975.56/107,096.50
  6. Step 6: Final answer
    x = 516,592.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.