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Finding the Third Proportional to 85,180.78 and 184,466.95

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Solution

The third proportional to 85,180.78 and 184,466.95 is: 399,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,180.78 : 184,466.95 = 184,466.95 : x
  2. Step 2: Convert to fraction form
    85,180.78/184,466.95 = 184,466.95/x
  3. Step 3: Cross multiply
    85,180.78x = 184,466.95 × 184,466.95
  4. Step 4: Simplify right side
    85,180.78x = 34,028,056,795.22
  5. Step 5: Solve for x
    x = 34,028,056,795.22/85,180.78
  6. Step 6: Final answer
    x = 399,480.45

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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.