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Finding the Third Proportional to 43,822.05 and 95,982.05

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Solution

The third proportional to 43,822.05 and 95,982.05 is: 210,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822.05 : 95,982.05 = 95,982.05 : x
  2. Step 2: Convert to fraction form
    43,822.05/95,982.05 = 95,982.05/x
  3. Step 3: Cross multiply
    43,822.05x = 95,982.05 × 95,982.05
  4. Step 4: Simplify right side
    43,822.05x = 9,212,553,322.31
  5. Step 5: Solve for x
    x = 9,212,553,322.31/43,822.05
  6. Step 6: Final answer
    x = 210,226.41

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