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Finding the Third Proportional to 92,678 and 188,630

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Solution

The third proportional to 92,678 and 188,630 is: 383,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,678 : 188,630 = 188,630 : x
  2. Step 2: Convert to fraction form
    92,678/188,630 = 188,630/x
  3. Step 3: Cross multiply
    92,678x = 188,630 × 188,630
  4. Step 4: Simplify right side
    92,678x = 35,581,276,900
  5. Step 5: Solve for x
    x = 35,581,276,900/92,678
  6. Step 6: Final answer
    x = 383,923.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.