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Finding the Third Proportional to 91,107 and 199,761

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Solution

The third proportional to 91,107 and 199,761 is: 437,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,107 : 199,761 = 199,761 : x
  2. Step 2: Convert to fraction form
    91,107/199,761 = 199,761/x
  3. Step 3: Cross multiply
    91,107x = 199,761 × 199,761
  4. Step 4: Simplify right side
    91,107x = 39,904,457,121
  5. Step 5: Solve for x
    x = 39,904,457,121/91,107
  6. Step 6: Final answer
    x = 437,995.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.