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Finding the Third Proportional to 95,180 and 204,715

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Solution

The third proportional to 95,180 and 204,715 is: 440,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,180 : 204,715 = 204,715 : x
  2. Step 2: Convert to fraction form
    95,180/204,715 = 204,715/x
  3. Step 3: Cross multiply
    95,180x = 204,715 × 204,715
  4. Step 4: Simplify right side
    95,180x = 41,908,231,225
  5. Step 5: Solve for x
    x = 41,908,231,225/95,180
  6. Step 6: Final answer
    x = 440,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.