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Finding the Third Proportional to 86,035.50 and 184,530.38

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Solution

The third proportional to 86,035.50 and 184,530.38 is: 395,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,035.50 : 184,530.38 = 184,530.38 : x
  2. Step 2: Convert to fraction form
    86,035.50/184,530.38 = 184,530.38/x
  3. Step 3: Cross multiply
    86,035.50x = 184,530.38 × 184,530.38
  4. Step 4: Simplify right side
    86,035.50x = 34,051,459,297.64
  5. Step 5: Solve for x
    x = 34,051,459,297.64/86,035.50
  6. Step 6: Final answer
    x = 395,783.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.