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Finding the Third Proportional to 79,241.20 and 186,868.69

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Solution

The third proportional to 79,241.20 and 186,868.69 is: 440,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,241.20 : 186,868.69 = 186,868.69 : x
  2. Step 2: Convert to fraction form
    79,241.20/186,868.69 = 186,868.69/x
  3. Step 3: Cross multiply
    79,241.20x = 186,868.69 × 186,868.69
  4. Step 4: Simplify right side
    79,241.20x = 34,919,906,367.97
  5. Step 5: Solve for x
    x = 34,919,906,367.97/79,241.20
  6. Step 6: Final answer
    x = 440,678.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.