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Finding the Third Proportional to 88,679 and 188,860

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Solution

The third proportional to 88,679 and 188,860 is: 402,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,679 : 188,860 = 188,860 : x
  2. Step 2: Convert to fraction form
    88,679/188,860 = 188,860/x
  3. Step 3: Cross multiply
    88,679x = 188,860 × 188,860
  4. Step 4: Simplify right side
    88,679x = 35,668,099,600
  5. Step 5: Solve for x
    x = 35,668,099,600/88,679
  6. Step 6: Final answer
    x = 402,215.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.