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Finding the Third Proportional to 91,106 and 199,762

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Solution

The third proportional to 91,106 and 199,762 is: 438,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,106 : 199,762 = 199,762 : x
  2. Step 2: Convert to fraction form
    91,106/199,762 = 199,762/x
  3. Step 3: Cross multiply
    91,106x = 199,762 × 199,762
  4. Step 4: Simplify right side
    91,106x = 39,904,856,644
  5. Step 5: Solve for x
    x = 39,904,856,644/91,106
  6. Step 6: Final answer
    x = 438,004.70

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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.