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Finding the Third Proportional to 88,255.50 and 189,147

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Solution

The third proportional to 88,255.50 and 189,147 is: 405,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,255.50 : 189,147 = 189,147 : x
  2. Step 2: Convert to fraction form
    88,255.50/189,147 = 189,147/x
  3. Step 3: Cross multiply
    88,255.50x = 189,147 × 189,147
  4. Step 4: Simplify right side
    88,255.50x = 35,776,587,609
  5. Step 5: Solve for x
    x = 35,776,587,609/88,255.50
  6. Step 6: Final answer
    x = 405,375.16

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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.