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Finding the Third Proportional to 85,904.06 and 184,916.44

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Solution

The third proportional to 85,904.06 and 184,916.44 is: 398,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904.06 : 184,916.44 = 184,916.44 : x
  2. Step 2: Convert to fraction form
    85,904.06/184,916.44 = 184,916.44/x
  3. Step 3: Cross multiply
    85,904.06x = 184,916.44 × 184,916.44
  4. Step 4: Simplify right side
    85,904.06x = 34,194,088,857.69
  5. Step 5: Solve for x
    x = 34,194,088,857.69/85,904.06
  6. Step 6: Final answer
    x = 398,049.73

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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.