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Finding the Third Proportional to 94,882 and 203,834

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Solution

The third proportional to 94,882 and 203,834 is: 437,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,882 : 203,834 = 203,834 : x
  2. Step 2: Convert to fraction form
    94,882/203,834 = 203,834/x
  3. Step 3: Cross multiply
    94,882x = 203,834 × 203,834
  4. Step 4: Simplify right side
    94,882x = 41,548,299,556
  5. Step 5: Solve for x
    x = 41,548,299,556/94,882
  6. Step 6: Final answer
    x = 437,894.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.