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Finding the Third Proportional to 85,209.75 and 184,525.88

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Solution

The third proportional to 85,209.75 and 184,525.88 is: 399,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.75 : 184,525.88 = 184,525.88 : x
  2. Step 2: Convert to fraction form
    85,209.75/184,525.88 = 184,525.88/x
  3. Step 3: Cross multiply
    85,209.75x = 184,525.88 × 184,525.88
  4. Step 4: Simplify right side
    85,209.75x = 34,049,798,544.52
  5. Step 5: Solve for x
    x = 34,049,798,544.52/85,209.75
  6. Step 6: Final answer
    x = 399,599.79

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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.