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Finding the Third Proportional to 85,201.31 and 179,216.44

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Solution

The third proportional to 85,201.31 and 179,216.44 is: 376,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201.31 : 179,216.44 = 179,216.44 : x
  2. Step 2: Convert to fraction form
    85,201.31/179,216.44 = 179,216.44/x
  3. Step 3: Cross multiply
    85,201.31x = 179,216.44 × 179,216.44
  4. Step 4: Simplify right side
    85,201.31x = 32,118,531,470.19
  5. Step 5: Solve for x
    x = 32,118,531,470.19/85,201.31
  6. Step 6: Final answer
    x = 376,972.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.