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Finding the Third Proportional to 95,916 and 210,866

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Solution

The third proportional to 95,916 and 210,866 is: 463,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,916 : 210,866 = 210,866 : x
  2. Step 2: Convert to fraction form
    95,916/210,866 = 210,866/x
  3. Step 3: Cross multiply
    95,916x = 210,866 × 210,866
  4. Step 4: Simplify right side
    95,916x = 44,464,469,956
  5. Step 5: Solve for x
    x = 44,464,469,956/95,916
  6. Step 6: Final answer
    x = 463,577.19

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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.