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Finding the Third Proportional to 85,861.50 and 188,850

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Solution

The third proportional to 85,861.50 and 188,850 is: 415,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,861.50 : 188,850 = 188,850 : x
  2. Step 2: Convert to fraction form
    85,861.50/188,850 = 188,850/x
  3. Step 3: Cross multiply
    85,861.50x = 188,850 × 188,850
  4. Step 4: Simplify right side
    85,861.50x = 35,664,322,500
  5. Step 5: Solve for x
    x = 35,664,322,500/85,861.50
  6. Step 6: Final answer
    x = 415,370.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.