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Finding the Third Proportional to 86,864.25 and 187,568.25

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Solution

The third proportional to 86,864.25 and 187,568.25 is: 405,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,864.25 : 187,568.25 = 187,568.25 : x
  2. Step 2: Convert to fraction form
    86,864.25/187,568.25 = 187,568.25/x
  3. Step 3: Cross multiply
    86,864.25x = 187,568.25 × 187,568.25
  4. Step 4: Simplify right side
    86,864.25x = 35,181,848,408.06
  5. Step 5: Solve for x
    x = 35,181,848,408.06/86,864.25
  6. Step 6: Final answer
    x = 405,021.03

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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.