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Finding the Third Proportional to 91,099 and 192,100

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Solution

The third proportional to 91,099 and 192,100 is: 405,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,099 : 192,100 = 192,100 : x
  2. Step 2: Convert to fraction form
    91,099/192,100 = 192,100/x
  3. Step 3: Cross multiply
    91,099x = 192,100 × 192,100
  4. Step 4: Simplify right side
    91,099x = 36,902,410,000
  5. Step 5: Solve for x
    x = 36,902,410,000/91,099
  6. Step 6: Final answer
    x = 405,080.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.