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Finding the Third Proportional to 110,031.94 and 231,885.19

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Solution

The third proportional to 110,031.94 and 231,885.19 is: 488,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,031.94 : 231,885.19 = 231,885.19 : x
  2. Step 2: Convert to fraction form
    110,031.94/231,885.19 = 231,885.19/x
  3. Step 3: Cross multiply
    110,031.94x = 231,885.19 × 231,885.19
  4. Step 4: Simplify right side
    110,031.94x = 53,770,740,181.91
  5. Step 5: Solve for x
    x = 53,770,740,181.91/110,031.94
  6. Step 6: Final answer
    x = 488,683.03

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.