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Finding the Third Proportional to 85,981.50 and 188,892

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Solution

The third proportional to 85,981.50 and 188,892 is: 414,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,981.50 : 188,892 = 188,892 : x
  2. Step 2: Convert to fraction form
    85,981.50/188,892 = 188,892/x
  3. Step 3: Cross multiply
    85,981.50x = 188,892 × 188,892
  4. Step 4: Simplify right side
    85,981.50x = 35,680,187,664
  5. Step 5: Solve for x
    x = 35,680,187,664/85,981.50
  6. Step 6: Final answer
    x = 414,975.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.