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Finding the Third Proportional to 107,040.56 and 233,151.19

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Solution

The third proportional to 107,040.56 and 233,151.19 is: 507,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040.56 : 233,151.19 = 233,151.19 : x
  2. Step 2: Convert to fraction form
    107,040.56/233,151.19 = 233,151.19/x
  3. Step 3: Cross multiply
    107,040.56x = 233,151.19 × 233,151.19
  4. Step 4: Simplify right side
    107,040.56x = 54,359,476,232.66
  5. Step 5: Solve for x
    x = 54,359,476,232.66/107,040.56
  6. Step 6: Final answer
    x = 507,839.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.