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Finding the Third Proportional to 106,359.19 and 226,797.19

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Solution

The third proportional to 106,359.19 and 226,797.19 is: 483,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,359.19 : 226,797.19 = 226,797.19 : x
  2. Step 2: Convert to fraction form
    106,359.19/226,797.19 = 226,797.19/x
  3. Step 3: Cross multiply
    106,359.19x = 226,797.19 × 226,797.19
  4. Step 4: Simplify right side
    106,359.19x = 51,436,964,257.91
  5. Step 5: Solve for x
    x = 51,436,964,257.91/106,359.19
  6. Step 6: Final answer
    x = 483,615.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.