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Finding the Third Proportional to 91,206 and 200,394

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Solution

The third proportional to 91,206 and 200,394 is: 440,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,206 : 200,394 = 200,394 : x
  2. Step 2: Convert to fraction form
    91,206/200,394 = 200,394/x
  3. Step 3: Cross multiply
    91,206x = 200,394 × 200,394
  4. Step 4: Simplify right side
    91,206x = 40,157,755,236
  5. Step 5: Solve for x
    x = 40,157,755,236/91,206
  6. Step 6: Final answer
    x = 440,297.30

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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.