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Finding the Third Proportional to 89,246.50 and 187,696.50

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Solution

The third proportional to 89,246.50 and 187,696.50 is: 394,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,246.50 : 187,696.50 = 187,696.50 : x
  2. Step 2: Convert to fraction form
    89,246.50/187,696.50 = 187,696.50/x
  3. Step 3: Cross multiply
    89,246.50x = 187,696.50 × 187,696.50
  4. Step 4: Simplify right side
    89,246.50x = 35,229,976,112.25
  5. Step 5: Solve for x
    x = 35,229,976,112.25/89,246.50
  6. Step 6: Final answer
    x = 394,749.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.