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Finding the Third Proportional to 86,817 and 184,297.50

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Solution

The third proportional to 86,817 and 184,297.50 is: 391,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817 : 184,297.50 = 184,297.50 : x
  2. Step 2: Convert to fraction form
    86,817/184,297.50 = 184,297.50/x
  3. Step 3: Cross multiply
    86,817x = 184,297.50 × 184,297.50
  4. Step 4: Simplify right side
    86,817x = 33,965,568,506.25
  5. Step 5: Solve for x
    x = 33,965,568,506.25/86,817
  6. Step 6: Final answer
    x = 391,231.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.