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Finding the Third Proportional to 91,414 and 203,834

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Solution

The third proportional to 91,414 and 203,834 is: 454,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,414 : 203,834 = 203,834 : x
  2. Step 2: Convert to fraction form
    91,414/203,834 = 203,834/x
  3. Step 3: Cross multiply
    91,414x = 203,834 × 203,834
  4. Step 4: Simplify right side
    91,414x = 41,548,299,556
  5. Step 5: Solve for x
    x = 41,548,299,556/91,414
  6. Step 6: Final answer
    x = 454,506.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.