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Finding the Third Proportional to 96,257 and 198,651

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Solution

The third proportional to 96,257 and 198,651 is: 409,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,257 : 198,651 = 198,651 : x
  2. Step 2: Convert to fraction form
    96,257/198,651 = 198,651/x
  3. Step 3: Cross multiply
    96,257x = 198,651 × 198,651
  4. Step 4: Simplify right side
    96,257x = 39,462,219,801
  5. Step 5: Solve for x
    x = 39,462,219,801/96,257
  6. Step 6: Final answer
    x = 409,967.27

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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.