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Finding the Third Proportional to 96,498 and 209,498

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Solution

The third proportional to 96,498 and 209,498 is: 454,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498 : 209,498 = 209,498 : x
  2. Step 2: Convert to fraction form
    96,498/209,498 = 209,498/x
  3. Step 3: Cross multiply
    96,498x = 209,498 × 209,498
  4. Step 4: Simplify right side
    96,498x = 43,889,412,004
  5. Step 5: Solve for x
    x = 43,889,412,004/96,498
  6. Step 6: Final answer
    x = 454,821.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.