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Finding the Third Proportional to 89,518 and 188,251.75

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Solution

The third proportional to 89,518 and 188,251.75 is: 395,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,518 : 188,251.75 = 188,251.75 : x
  2. Step 2: Convert to fraction form
    89,518/188,251.75 = 188,251.75/x
  3. Step 3: Cross multiply
    89,518x = 188,251.75 × 188,251.75
  4. Step 4: Simplify right side
    89,518x = 35,438,721,378.06
  5. Step 5: Solve for x
    x = 35,438,721,378.06/89,518
  6. Step 6: Final answer
    x = 395,883.75

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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.