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Finding the Third Proportional to 53,819.44 and 110,327.06

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Solution

The third proportional to 53,819.44 and 110,327.06 is: 226,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,819.44 : 110,327.06 = 110,327.06 : x
  2. Step 2: Convert to fraction form
    53,819.44/110,327.06 = 110,327.06/x
  3. Step 3: Cross multiply
    53,819.44x = 110,327.06 × 110,327.06
  4. Step 4: Simplify right side
    53,819.44x = 12,172,060,719.88
  5. Step 5: Solve for x
    x = 12,172,060,719.88/53,819.44
  6. Step 6: Final answer
    x = 226,164.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.