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Finding the Third Proportional to 96,394 and 204,451

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Solution

The third proportional to 96,394 and 204,451 is: 433,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394 : 204,451 = 204,451 : x
  2. Step 2: Convert to fraction form
    96,394/204,451 = 204,451/x
  3. Step 3: Cross multiply
    96,394x = 204,451 × 204,451
  4. Step 4: Simplify right side
    96,394x = 41,800,211,401
  5. Step 5: Solve for x
    x = 41,800,211,401/96,394
  6. Step 6: Final answer
    x = 433,639.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.