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Finding the Third Proportional to 96,966 and 207,756

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Solution

The third proportional to 96,966 and 207,756 is: 445,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966 : 207,756 = 207,756 : x
  2. Step 2: Convert to fraction form
    96,966/207,756 = 207,756/x
  3. Step 3: Cross multiply
    96,966x = 207,756 × 207,756
  4. Step 4: Simplify right side
    96,966x = 43,162,555,536
  5. Step 5: Solve for x
    x = 43,162,555,536/96,966
  6. Step 6: Final answer
    x = 445,130.82

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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.