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Finding the Third Proportional to 85,860.94 and 186,499.88

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Solution

The third proportional to 85,860.94 and 186,499.88 is: 405,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,860.94 : 186,499.88 = 186,499.88 : x
  2. Step 2: Convert to fraction form
    85,860.94/186,499.88 = 186,499.88/x
  3. Step 3: Cross multiply
    85,860.94x = 186,499.88 × 186,499.88
  4. Step 4: Simplify right side
    85,860.94x = 34,782,203,375.02
  5. Step 5: Solve for x
    x = 34,782,203,375.02/85,860.94
  6. Step 6: Final answer
    x = 405,099.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.