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Finding the Third Proportional to 96,281 and 198,697

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Solution

The third proportional to 96,281 and 198,697 is: 410,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,281 : 198,697 = 198,697 : x
  2. Step 2: Convert to fraction form
    96,281/198,697 = 198,697/x
  3. Step 3: Cross multiply
    96,281x = 198,697 × 198,697
  4. Step 4: Simplify right side
    96,281x = 39,480,497,809
  5. Step 5: Solve for x
    x = 39,480,497,809/96,281
  6. Step 6: Final answer
    x = 410,054.92

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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.