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Finding the Third Proportional to 94,940 and 204,891

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Solution

The third proportional to 94,940 and 204,891 is: 442,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,940 : 204,891 = 204,891 : x
  2. Step 2: Convert to fraction form
    94,940/204,891 = 204,891/x
  3. Step 3: Cross multiply
    94,940x = 204,891 × 204,891
  4. Step 4: Simplify right side
    94,940x = 41,980,321,881
  5. Step 5: Solve for x
    x = 41,980,321,881/94,940
  6. Step 6: Final answer
    x = 442,177.39

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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.