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Finding the Third Proportional to 96,498 and 207,576

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Solution

The third proportional to 96,498 and 207,576 is: 446,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498 : 207,576 = 207,576 : x
  2. Step 2: Convert to fraction form
    96,498/207,576 = 207,576/x
  3. Step 3: Cross multiply
    96,498x = 207,576 × 207,576
  4. Step 4: Simplify right side
    96,498x = 43,087,795,776
  5. Step 5: Solve for x
    x = 43,087,795,776/96,498
  6. Step 6: Final answer
    x = 446,514.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.