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Finding the Third Proportional to 97,180 and 209,672

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Solution

The third proportional to 97,180 and 209,672 is: 452,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,180 : 209,672 = 209,672 : x
  2. Step 2: Convert to fraction form
    97,180/209,672 = 209,672/x
  3. Step 3: Cross multiply
    97,180x = 209,672 × 209,672
  4. Step 4: Simplify right side
    97,180x = 43,962,347,584
  5. Step 5: Solve for x
    x = 43,962,347,584/97,180
  6. Step 6: Final answer
    x = 452,380.61

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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.