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Finding the Third Proportional to 92,337 and 198,797

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Solution

The third proportional to 92,337 and 198,797 is: 428,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,337 : 198,797 = 198,797 : x
  2. Step 2: Convert to fraction form
    92,337/198,797 = 198,797/x
  3. Step 3: Cross multiply
    92,337x = 198,797 × 198,797
  4. Step 4: Simplify right side
    92,337x = 39,520,247,209
  5. Step 5: Solve for x
    x = 39,520,247,209/92,337
  6. Step 6: Final answer
    x = 428,000.12

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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.