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Finding the Third Proportional to 97,967 and 200,085

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Solution

The third proportional to 97,967 and 200,085 is: 408,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967 : 200,085 = 200,085 : x
  2. Step 2: Convert to fraction form
    97,967/200,085 = 200,085/x
  3. Step 3: Cross multiply
    97,967x = 200,085 × 200,085
  4. Step 4: Simplify right side
    97,967x = 40,034,007,225
  5. Step 5: Solve for x
    x = 40,034,007,225/97,967
  6. Step 6: Final answer
    x = 408,647.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.