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Finding the Third Proportional to 97,961 and 204,400

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Solution

The third proportional to 97,961 and 204,400 is: 426,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,961 : 204,400 = 204,400 : x
  2. Step 2: Convert to fraction form
    97,961/204,400 = 204,400/x
  3. Step 3: Cross multiply
    97,961x = 204,400 × 204,400
  4. Step 4: Simplify right side
    97,961x = 41,779,360,000
  5. Step 5: Solve for x
    x = 41,779,360,000/97,961
  6. Step 6: Final answer
    x = 426,489.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.