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Finding the Third Proportional to 96,432 and 197,562

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Solution

The third proportional to 96,432 and 197,562 is: 404,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,432 : 197,562 = 197,562 : x
  2. Step 2: Convert to fraction form
    96,432/197,562 = 197,562/x
  3. Step 3: Cross multiply
    96,432x = 197,562 × 197,562
  4. Step 4: Simplify right side
    96,432x = 39,030,743,844
  5. Step 5: Solve for x
    x = 39,030,743,844/96,432
  6. Step 6: Final answer
    x = 404,748.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.