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Finding the Third Proportional to 88,112.25 and 188,689.50

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Solution

The third proportional to 88,112.25 and 188,689.50 is: 404,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,112.25 : 188,689.50 = 188,689.50 : x
  2. Step 2: Convert to fraction form
    88,112.25/188,689.50 = 188,689.50/x
  3. Step 3: Cross multiply
    88,112.25x = 188,689.50 × 188,689.50
  4. Step 4: Simplify right side
    88,112.25x = 35,603,727,410.25
  5. Step 5: Solve for x
    x = 35,603,727,410.25/88,112.25
  6. Step 6: Final answer
    x = 404,072.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.