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Finding the Third Proportional to 85,900.50 and 184,102.88

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Solution

The third proportional to 85,900.50 and 184,102.88 is: 394,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,900.50 : 184,102.88 = 184,102.88 : x
  2. Step 2: Convert to fraction form
    85,900.50/184,102.88 = 184,102.88/x
  3. Step 3: Cross multiply
    85,900.50x = 184,102.88 × 184,102.88
  4. Step 4: Simplify right side
    85,900.50x = 33,893,868,583.27
  5. Step 5: Solve for x
    x = 33,893,868,583.27/85,900.50
  6. Step 6: Final answer
    x = 394,571.26

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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.