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Finding the Third Proportional to 94,631 and 199,927

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Solution

The third proportional to 94,631 and 199,927 is: 422,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,631 : 199,927 = 199,927 : x
  2. Step 2: Convert to fraction form
    94,631/199,927 = 199,927/x
  3. Step 3: Cross multiply
    94,631x = 199,927 × 199,927
  4. Step 4: Simplify right side
    94,631x = 39,970,805,329
  5. Step 5: Solve for x
    x = 39,970,805,329/94,631
  6. Step 6: Final answer
    x = 422,385.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.