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Finding the Third Proportional to 91,636 and 195,272

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Solution

The third proportional to 91,636 and 195,272 is: 416,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,636 : 195,272 = 195,272 : x
  2. Step 2: Convert to fraction form
    91,636/195,272 = 195,272/x
  3. Step 3: Cross multiply
    91,636x = 195,272 × 195,272
  4. Step 4: Simplify right side
    91,636x = 38,131,153,984
  5. Step 5: Solve for x
    x = 38,131,153,984/91,636
  6. Step 6: Final answer
    x = 416,115.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.