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Finding the Third Proportional to 96,248 and 198,598

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Solution

The third proportional to 96,248 and 198,598 is: 409,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,248 : 198,598 = 198,598 : x
  2. Step 2: Convert to fraction form
    96,248/198,598 = 198,598/x
  3. Step 3: Cross multiply
    96,248x = 198,598 × 198,598
  4. Step 4: Simplify right side
    96,248x = 39,441,165,604
  5. Step 5: Solve for x
    x = 39,441,165,604/96,248
  6. Step 6: Final answer
    x = 409,786.86

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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.