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Finding the Third Proportional to 203,115.56 and 440,129.63

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Solution

The third proportional to 203,115.56 and 440,129.63 is: 953,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.56 : 440,129.63 = 440,129.63 : x
  2. Step 2: Convert to fraction form
    203,115.56/440,129.63 = 440,129.63/x
  3. Step 3: Cross multiply
    203,115.56x = 440,129.63 × 440,129.63
  4. Step 4: Simplify right side
    203,115.56x = 193,714,086,802.64
  5. Step 5: Solve for x
    x = 193,714,086,802.64/203,115.56
  6. Step 6: Final answer
    x = 953,713.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.