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Finding the Third Proportional to 91,190 and 189,627

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Solution

The third proportional to 91,190 and 189,627 is: 394,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,190 : 189,627 = 189,627 : x
  2. Step 2: Convert to fraction form
    91,190/189,627 = 189,627/x
  3. Step 3: Cross multiply
    91,190x = 189,627 × 189,627
  4. Step 4: Simplify right side
    91,190x = 35,958,399,129
  5. Step 5: Solve for x
    x = 35,958,399,129/91,190
  6. Step 6: Final answer
    x = 394,323.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.