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Finding the Third Proportional to 111,991.22 and 241,811.72

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Solution

The third proportional to 111,991.22 and 241,811.72 is: 522,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,991.22 : 241,811.72 = 241,811.72 : x
  2. Step 2: Convert to fraction form
    111,991.22/241,811.72 = 241,811.72/x
  3. Step 3: Cross multiply
    111,991.22x = 241,811.72 × 241,811.72
  4. Step 4: Simplify right side
    111,991.22x = 58,472,907,324.83
  5. Step 5: Solve for x
    x = 58,472,907,324.83/111,991.22
  6. Step 6: Final answer
    x = 522,120.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.