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Finding the Third Proportional to 95,096 and 201,802

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Solution

The third proportional to 95,096 and 201,802 is: 428,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,096 : 201,802 = 201,802 : x
  2. Step 2: Convert to fraction form
    95,096/201,802 = 201,802/x
  3. Step 3: Cross multiply
    95,096x = 201,802 × 201,802
  4. Step 4: Simplify right side
    95,096x = 40,724,047,204
  5. Step 5: Solve for x
    x = 40,724,047,204/95,096
  6. Step 6: Final answer
    x = 428,241.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.