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Finding the Third Proportional to 96,969 and 209,238

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Solution

The third proportional to 96,969 and 209,238 is: 451,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969 : 209,238 = 209,238 : x
  2. Step 2: Convert to fraction form
    96,969/209,238 = 209,238/x
  3. Step 3: Cross multiply
    96,969x = 209,238 × 209,238
  4. Step 4: Simplify right side
    96,969x = 43,780,540,644
  5. Step 5: Solve for x
    x = 43,780,540,644/96,969
  6. Step 6: Final answer
    x = 451,490.07

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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.