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Finding the Third Proportional to 41,708 and 89,976.50

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Solution

The third proportional to 41,708 and 89,976.50 is: 194,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,708 : 89,976.50 = 89,976.50 : x
  2. Step 2: Convert to fraction form
    41,708/89,976.50 = 89,976.50/x
  3. Step 3: Cross multiply
    41,708x = 89,976.50 × 89,976.50
  4. Step 4: Simplify right side
    41,708x = 8,095,770,552.25
  5. Step 5: Solve for x
    x = 8,095,770,552.25/41,708
  6. Step 6: Final answer
    x = 194,105.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.