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Finding the Third Proportional to 107,308.13 and 231,222.75

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Solution

The third proportional to 107,308.13 and 231,222.75 is: 498,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,308.13 : 231,222.75 = 231,222.75 : x
  2. Step 2: Convert to fraction form
    107,308.13/231,222.75 = 231,222.75/x
  3. Step 3: Cross multiply
    107,308.13x = 231,222.75 × 231,222.75
  4. Step 4: Simplify right side
    107,308.13x = 53,463,960,117.56
  5. Step 5: Solve for x
    x = 53,463,960,117.56/107,308.13
  6. Step 6: Final answer
    x = 498,228.44

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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.