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Finding the Third Proportional to 44,668 and 95,816

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Solution

The third proportional to 44,668 and 95,816 is: 205,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,668 : 95,816 = 95,816 : x
  2. Step 2: Convert to fraction form
    44,668/95,816 = 95,816/x
  3. Step 3: Cross multiply
    44,668x = 95,816 × 95,816
  4. Step 4: Simplify right side
    44,668x = 9,180,705,856
  5. Step 5: Solve for x
    x = 9,180,705,856/44,668
  6. Step 6: Final answer
    x = 205,532.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.