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Finding the Third Proportional to 96,948 and 202,680

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Solution

The third proportional to 96,948 and 202,680 is: 423,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,948 : 202,680 = 202,680 : x
  2. Step 2: Convert to fraction form
    96,948/202,680 = 202,680/x
  3. Step 3: Cross multiply
    96,948x = 202,680 × 202,680
  4. Step 4: Simplify right side
    96,948x = 41,079,182,400
  5. Step 5: Solve for x
    x = 41,079,182,400/96,948
  6. Step 6: Final answer
    x = 423,723.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.