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Finding the Third Proportional to 89,701.25 and 188,696.50

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Solution

The third proportional to 89,701.25 and 188,696.50 is: 396,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,701.25 : 188,696.50 = 188,696.50 : x
  2. Step 2: Convert to fraction form
    89,701.25/188,696.50 = 188,696.50/x
  3. Step 3: Cross multiply
    89,701.25x = 188,696.50 × 188,696.50
  4. Step 4: Simplify right side
    89,701.25x = 35,606,369,112.25
  5. Step 5: Solve for x
    x = 35,606,369,112.25/89,701.25
  6. Step 6: Final answer
    x = 396,943.96

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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.