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Finding the Third Proportional to 85,956.19 and 189,118.13

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Solution

The third proportional to 85,956.19 and 189,118.13 is: 416,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,956.19 : 189,118.13 = 189,118.13 : x
  2. Step 2: Convert to fraction form
    85,956.19/189,118.13 = 189,118.13/x
  3. Step 3: Cross multiply
    85,956.19x = 189,118.13 × 189,118.13
  4. Step 4: Simplify right side
    85,956.19x = 35,765,665,203.52
  5. Step 5: Solve for x
    x = 35,765,665,203.52/85,956.19
  6. Step 6: Final answer
    x = 416,091.80

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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.