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Finding the Third Proportional to 96,497 and 209,497

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Solution

The third proportional to 96,497 and 209,497 is: 454,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,497 : 209,497 = 209,497 : x
  2. Step 2: Convert to fraction form
    96,497/209,497 = 209,497/x
  3. Step 3: Cross multiply
    96,497x = 209,497 × 209,497
  4. Step 4: Simplify right side
    96,497x = 43,888,993,009
  5. Step 5: Solve for x
    x = 43,888,993,009/96,497
  6. Step 6: Final answer
    x = 454,822.36

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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.