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Finding the Third Proportional to 96,968 and 207,760

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Solution

The third proportional to 96,968 and 207,760 is: 445,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968 : 207,760 = 207,760 : x
  2. Step 2: Convert to fraction form
    96,968/207,760 = 207,760/x
  3. Step 3: Cross multiply
    96,968x = 207,760 × 207,760
  4. Step 4: Simplify right side
    96,968x = 43,164,217,600
  5. Step 5: Solve for x
    x = 43,164,217,600/96,968
  6. Step 6: Final answer
    x = 445,138.78

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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.