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Finding the Third Proportional to 43,808 and 95,820

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Solution

The third proportional to 43,808 and 95,820 is: 209,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,808 : 95,820 = 95,820 : x
  2. Step 2: Convert to fraction form
    43,808/95,820 = 95,820/x
  3. Step 3: Cross multiply
    43,808x = 95,820 × 95,820
  4. Step 4: Simplify right side
    43,808x = 9,181,472,400
  5. Step 5: Solve for x
    x = 9,181,472,400/43,808
  6. Step 6: Final answer
    x = 209,584.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.