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Finding the Third Proportional to 86,152.36 and 185,568.05

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Solution

The third proportional to 86,152.36 and 185,568.05 is: 399,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,152.36 : 185,568.05 = 185,568.05 : x
  2. Step 2: Convert to fraction form
    86,152.36/185,568.05 = 185,568.05/x
  3. Step 3: Cross multiply
    86,152.36x = 185,568.05 × 185,568.05
  4. Step 4: Simplify right side
    86,152.36x = 34,435,500,021.00
  5. Step 5: Solve for x
    x = 34,435,500,021.00/86,152.36
  6. Step 6: Final answer
    x = 399,704.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.