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Finding the Third Proportional to 97,969 and 200,087

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Solution

The third proportional to 97,969 and 200,087 is: 408,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,969 : 200,087 = 200,087 : x
  2. Step 2: Convert to fraction form
    97,969/200,087 = 200,087/x
  3. Step 3: Cross multiply
    97,969x = 200,087 × 200,087
  4. Step 4: Simplify right side
    97,969x = 40,034,807,569
  5. Step 5: Solve for x
    x = 40,034,807,569/97,969
  6. Step 6: Final answer
    x = 408,647.71

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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.