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Finding the Third Proportional to 96,957 and 202,743

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Solution

The third proportional to 96,957 and 202,743 is: 423,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,957 : 202,743 = 202,743 : x
  2. Step 2: Convert to fraction form
    96,957/202,743 = 202,743/x
  3. Step 3: Cross multiply
    96,957x = 202,743 × 202,743
  4. Step 4: Simplify right side
    96,957x = 41,104,724,049
  5. Step 5: Solve for x
    x = 41,104,724,049/96,957
  6. Step 6: Final answer
    x = 423,947.98

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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.