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Finding the Third Proportional to 104,098.06 and 226,033.19

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Solution

The third proportional to 104,098.06 and 226,033.19 is: 490,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,098.06 : 226,033.19 = 226,033.19 : x
  2. Step 2: Convert to fraction form
    104,098.06/226,033.19 = 226,033.19/x
  3. Step 3: Cross multiply
    104,098.06x = 226,033.19 × 226,033.19
  4. Step 4: Simplify right side
    104,098.06x = 51,091,001,851.41
  5. Step 5: Solve for x
    x = 51,091,001,851.41/104,098.06
  6. Step 6: Final answer
    x = 490,796.86

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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.