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Finding the Third Proportional to 85,516.31 and 183,485.81

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Solution

The third proportional to 85,516.31 and 183,485.81 is: 393,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,516.31 : 183,485.81 = 183,485.81 : x
  2. Step 2: Convert to fraction form
    85,516.31/183,485.81 = 183,485.81/x
  3. Step 3: Cross multiply
    85,516.31x = 183,485.81 × 183,485.81
  4. Step 4: Simplify right side
    85,516.31x = 33,667,043,388.79
  5. Step 5: Solve for x
    x = 33,667,043,388.79/85,516.31
  6. Step 6: Final answer
    x = 393,691.48

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Why These Related Problems?

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