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Finding the Third Proportional to 99,827.44 and 218,077.31

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Solution

The third proportional to 99,827.44 and 218,077.31 is: 476,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,827.44 : 218,077.31 = 218,077.31 : x
  2. Step 2: Convert to fraction form
    99,827.44/218,077.31 = 218,077.31/x
  3. Step 3: Cross multiply
    99,827.44x = 218,077.31 × 218,077.31
  4. Step 4: Simplify right side
    99,827.44x = 47,557,714,227.22
  5. Step 5: Solve for x
    x = 47,557,714,227.22/99,827.44
  6. Step 6: Final answer
    x = 476,399.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.