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Finding the Third Proportional to 91,084.50 and 192,071.25

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Solution

The third proportional to 91,084.50 and 192,071.25 is: 405,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,084.50 : 192,071.25 = 192,071.25 : x
  2. Step 2: Convert to fraction form
    91,084.50/192,071.25 = 192,071.25/x
  3. Step 3: Cross multiply
    91,084.50x = 192,071.25 × 192,071.25
  4. Step 4: Simplify right side
    91,084.50x = 36,891,365,076.56
  5. Step 5: Solve for x
    x = 36,891,365,076.56/91,084.50
  6. Step 6: Final answer
    x = 405,023.52

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