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Finding the Third Proportional to 96,847 and 210,849

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Solution

The third proportional to 96,847 and 210,849 is: 459,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,847 : 210,849 = 210,849 : x
  2. Step 2: Convert to fraction form
    96,847/210,849 = 210,849/x
  3. Step 3: Cross multiply
    96,847x = 210,849 × 210,849
  4. Step 4: Simplify right side
    96,847x = 44,457,300,801
  5. Step 5: Solve for x
    x = 44,457,300,801/96,847
  6. Step 6: Final answer
    x = 459,046.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.