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Finding the Third Proportional to 97,690 and 209,204

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Solution

The third proportional to 97,690 and 209,204 is: 448,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,690 : 209,204 = 209,204 : x
  2. Step 2: Convert to fraction form
    97,690/209,204 = 209,204/x
  3. Step 3: Cross multiply
    97,690x = 209,204 × 209,204
  4. Step 4: Simplify right side
    97,690x = 43,766,313,616
  5. Step 5: Solve for x
    x = 43,766,313,616/97,690
  6. Step 6: Final answer
    x = 448,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.