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Finding the Third Proportional to 92,314 and 198,668

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Solution

The third proportional to 92,314 and 198,668 is: 427,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,314 : 198,668 = 198,668 : x
  2. Step 2: Convert to fraction form
    92,314/198,668 = 198,668/x
  3. Step 3: Cross multiply
    92,314x = 198,668 × 198,668
  4. Step 4: Simplify right side
    92,314x = 39,468,974,224
  5. Step 5: Solve for x
    x = 39,468,974,224/92,314
  6. Step 6: Final answer
    x = 427,551.34

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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.