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Finding the Third Proportional to 103,013.44 and 213,922.69

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Solution

The third proportional to 103,013.44 and 213,922.69 is: 444,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,013.44 : 213,922.69 = 213,922.69 : x
  2. Step 2: Convert to fraction form
    103,013.44/213,922.69 = 213,922.69/x
  3. Step 3: Cross multiply
    103,013.44x = 213,922.69 × 213,922.69
  4. Step 4: Simplify right side
    103,013.44x = 45,762,916,227.22
  5. Step 5: Solve for x
    x = 45,762,916,227.22/103,013.44
  6. Step 6: Final answer
    x = 444,242.20

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.