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Finding the Third Proportional to 96,404 and 198,956

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Solution

The third proportional to 96,404 and 198,956 is: 410,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,404 : 198,956 = 198,956 : x
  2. Step 2: Convert to fraction form
    96,404/198,956 = 198,956/x
  3. Step 3: Cross multiply
    96,404x = 198,956 × 198,956
  4. Step 4: Simplify right side
    96,404x = 39,583,489,936
  5. Step 5: Solve for x
    x = 39,583,489,936/96,404
  6. Step 6: Final answer
    x = 410,600.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.