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Finding the Third Proportional to 97,182 and 209,676

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Solution

The third proportional to 97,182 and 209,676 is: 452,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,182 : 209,676 = 209,676 : x
  2. Step 2: Convert to fraction form
    97,182/209,676 = 209,676/x
  3. Step 3: Cross multiply
    97,182x = 209,676 × 209,676
  4. Step 4: Simplify right side
    97,182x = 43,964,024,976
  5. Step 5: Solve for x
    x = 43,964,024,976/97,182
  6. Step 6: Final answer
    x = 452,388.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.