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Finding the Third Proportional to 95,899 and 201,910

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Solution

The third proportional to 95,899 and 201,910 is: 425,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,899 : 201,910 = 201,910 : x
  2. Step 2: Convert to fraction form
    95,899/201,910 = 201,910/x
  3. Step 3: Cross multiply
    95,899x = 201,910 × 201,910
  4. Step 4: Simplify right side
    95,899x = 40,767,648,100
  5. Step 5: Solve for x
    x = 40,767,648,100/95,899
  6. Step 6: Final answer
    x = 425,110.25

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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.