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Finding the Third Proportional to 111,997.69 and 241,809.05

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Solution

The third proportional to 111,997.69 and 241,809.05 is: 522,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,997.69 : 241,809.05 = 241,809.05 : x
  2. Step 2: Convert to fraction form
    111,997.69/241,809.05 = 241,809.05/x
  3. Step 3: Cross multiply
    111,997.69x = 241,809.05 × 241,809.05
  4. Step 4: Simplify right side
    111,997.69x = 58,471,615,150.60
  5. Step 5: Solve for x
    x = 58,471,615,150.60/111,997.69
  6. Step 6: Final answer
    x = 522,078.77

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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.