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Finding the Third Proportional to 92,286 and 198,612

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Solution

The third proportional to 92,286 and 198,612 is: 427,439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 198,612 = 198,612 : x
  2. Step 2: Convert to fraction form
    92,286/198,612 = 198,612/x
  3. Step 3: Cross multiply
    92,286x = 198,612 × 198,612
  4. Step 4: Simplify right side
    92,286x = 39,446,726,544
  5. Step 5: Solve for x
    x = 39,446,726,544/92,286
  6. Step 6: Final answer
    x = 427,439.99

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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.