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Finding the Third Proportional to 91,184 and 189,616

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Solution

The third proportional to 91,184 and 189,616 is: 394,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,184 : 189,616 = 189,616 : x
  2. Step 2: Convert to fraction form
    91,184/189,616 = 189,616/x
  3. Step 3: Cross multiply
    91,184x = 189,616 × 189,616
  4. Step 4: Simplify right side
    91,184x = 35,954,227,456
  5. Step 5: Solve for x
    x = 35,954,227,456/91,184
  6. Step 6: Final answer
    x = 394,304.13

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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.