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Finding the Third Proportional to 95,330 and 188,264

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Solution

The third proportional to 95,330 and 188,264 is: 371,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,330 : 188,264 = 188,264 : x
  2. Step 2: Convert to fraction form
    95,330/188,264 = 188,264/x
  3. Step 3: Cross multiply
    95,330x = 188,264 × 188,264
  4. Step 4: Simplify right side
    95,330x = 35,443,333,696
  5. Step 5: Solve for x
    x = 35,443,333,696/95,330
  6. Step 6: Final answer
    x = 371,796.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.