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Finding the Third Proportional to 41,305.78 and 86,173.03

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Solution

The third proportional to 41,305.78 and 86,173.03 is: 179,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,305.78 : 86,173.03 = 86,173.03 : x
  2. Step 2: Convert to fraction form
    41,305.78/86,173.03 = 86,173.03/x
  3. Step 3: Cross multiply
    41,305.78x = 86,173.03 × 86,173.03
  4. Step 4: Simplify right side
    41,305.78x = 7,425,791,314.81
  5. Step 5: Solve for x
    x = 7,425,791,314.81/41,305.78
  6. Step 6: Final answer
    x = 179,776.08

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.