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Finding the Third Proportional to 91,091 and 192,084

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Solution

The third proportional to 91,091 and 192,084 is: 405,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,091 : 192,084 = 192,084 : x
  2. Step 2: Convert to fraction form
    91,091/192,084 = 192,084/x
  3. Step 3: Cross multiply
    91,091x = 192,084 × 192,084
  4. Step 4: Simplify right side
    91,091x = 36,896,263,056
  5. Step 5: Solve for x
    x = 36,896,263,056/91,091
  6. Step 6: Final answer
    x = 405,048.39

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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.