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Finding the Third Proportional to 104,676.75 and 218,207.25

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Solution

The third proportional to 104,676.75 and 218,207.25 is: 454,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,676.75 : 218,207.25 = 218,207.25 : x
  2. Step 2: Convert to fraction form
    104,676.75/218,207.25 = 218,207.25/x
  3. Step 3: Cross multiply
    104,676.75x = 218,207.25 × 218,207.25
  4. Step 4: Simplify right side
    104,676.75x = 47,614,403,952.56
  5. Step 5: Solve for x
    x = 47,614,403,952.56/104,676.75
  6. Step 6: Final answer
    x = 454,870.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.