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Finding the Third Proportional to 94,468 and 204,452

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Solution

The third proportional to 94,468 and 204,452 is: 442,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,468 : 204,452 = 204,452 : x
  2. Step 2: Convert to fraction form
    94,468/204,452 = 204,452/x
  3. Step 3: Cross multiply
    94,468x = 204,452 × 204,452
  4. Step 4: Simplify right side
    94,468x = 41,800,620,304
  5. Step 5: Solve for x
    x = 41,800,620,304/94,468
  6. Step 6: Final answer
    x = 442,484.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.