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Finding the Third Proportional to 102,405.94 and 222,786.28

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Solution

The third proportional to 102,405.94 and 222,786.28 is: 484,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.94 : 222,786.28 = 222,786.28 : x
  2. Step 2: Convert to fraction form
    102,405.94/222,786.28 = 222,786.28/x
  3. Step 3: Cross multiply
    102,405.94x = 222,786.28 × 222,786.28
  4. Step 4: Simplify right side
    102,405.94x = 49,633,727,113.20
  5. Step 5: Solve for x
    x = 49,633,727,113.20/102,405.94
  6. Step 6: Final answer
    x = 484,676.26

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