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Finding the Third Proportional to 39,181.22 and 85,873.92

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Solution

The third proportional to 39,181.22 and 85,873.92 is: 188,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,181.22 : 85,873.92 = 85,873.92 : x
  2. Step 2: Convert to fraction form
    39,181.22/85,873.92 = 85,873.92/x
  3. Step 3: Cross multiply
    39,181.22x = 85,873.92 × 85,873.92
  4. Step 4: Simplify right side
    39,181.22x = 7,374,330,458.19
  5. Step 5: Solve for x
    x = 7,374,330,458.19/39,181.22
  6. Step 6: Final answer
    x = 188,210.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.