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Finding the Third Proportional to 104,079.94 and 222,917.06

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Solution

The third proportional to 104,079.94 and 222,917.06 is: 477,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,079.94 : 222,917.06 = 222,917.06 : x
  2. Step 2: Convert to fraction form
    104,079.94/222,917.06 = 222,917.06/x
  3. Step 3: Cross multiply
    104,079.94x = 222,917.06 × 222,917.06
  4. Step 4: Simplify right side
    104,079.94x = 49,692,016,753.63
  5. Step 5: Solve for x
    x = 49,692,016,753.63/104,079.94
  6. Step 6: Final answer
    x = 477,440.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.