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Finding the Third Proportional to 95,906 and 210,846

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Solution

The third proportional to 95,906 and 210,846 is: 463,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,906 : 210,846 = 210,846 : x
  2. Step 2: Convert to fraction form
    95,906/210,846 = 210,846/x
  3. Step 3: Cross multiply
    95,906x = 210,846 × 210,846
  4. Step 4: Simplify right side
    95,906x = 44,456,035,716
  5. Step 5: Solve for x
    x = 44,456,035,716/95,906
  6. Step 6: Final answer
    x = 463,537.59

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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.