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Finding the Third Proportional to 96,912 and 209,100

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Solution

The third proportional to 96,912 and 209,100 is: 451,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912 : 209,100 = 209,100 : x
  2. Step 2: Convert to fraction form
    96,912/209,100 = 209,100/x
  3. Step 3: Cross multiply
    96,912x = 209,100 × 209,100
  4. Step 4: Simplify right side
    96,912x = 43,722,810,000
  5. Step 5: Solve for x
    x = 43,722,810,000/96,912
  6. Step 6: Final answer
    x = 451,159.92

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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.