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Finding the Third Proportional to 103,620.75 and 223,576.50

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Solution

The third proportional to 103,620.75 and 223,576.50 is: 482,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,620.75 : 223,576.50 = 223,576.50 : x
  2. Step 2: Convert to fraction form
    103,620.75/223,576.50 = 223,576.50/x
  3. Step 3: Cross multiply
    103,620.75x = 223,576.50 × 223,576.50
  4. Step 4: Simplify right side
    103,620.75x = 49,986,451,352.25
  5. Step 5: Solve for x
    x = 49,986,451,352.25/103,620.75
  6. Step 6: Final answer
    x = 482,398.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.