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Finding the Third Proportional to 92,920 and 204,596

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Solution

The third proportional to 92,920 and 204,596 is: 450,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,920 : 204,596 = 204,596 : x
  2. Step 2: Convert to fraction form
    92,920/204,596 = 204,596/x
  3. Step 3: Cross multiply
    92,920x = 204,596 × 204,596
  4. Step 4: Simplify right side
    92,920x = 41,859,523,216
  5. Step 5: Solve for x
    x = 41,859,523,216/92,920
  6. Step 6: Final answer
    x = 450,489.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.