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Finding the Third Proportional to 85,202.90 and 184,605.49

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Solution

The third proportional to 85,202.90 and 184,605.49 is: 399,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202.90 : 184,605.49 = 184,605.49 : x
  2. Step 2: Convert to fraction form
    85,202.90/184,605.49 = 184,605.49/x
  3. Step 3: Cross multiply
    85,202.90x = 184,605.49 × 184,605.49
  4. Step 4: Simplify right side
    85,202.90x = 34,079,185,582.44
  5. Step 5: Solve for x
    x = 34,079,185,582.44/85,202.90
  6. Step 6: Final answer
    x = 399,976.81

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Why These Related Problems?

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