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Finding the Third Proportional to 96,962 and 202,226

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Solution

The third proportional to 96,962 and 202,226 is: 421,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962 : 202,226 = 202,226 : x
  2. Step 2: Convert to fraction form
    96,962/202,226 = 202,226/x
  3. Step 3: Cross multiply
    96,962x = 202,226 × 202,226
  4. Step 4: Simplify right side
    96,962x = 40,895,355,076
  5. Step 5: Solve for x
    x = 40,895,355,076/96,962
  6. Step 6: Final answer
    x = 421,766.83

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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.