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Finding the Third Proportional to 103,986.91 and 223,735.92

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Solution

The third proportional to 103,986.91 and 223,735.92 is: 481,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986.91 : 223,735.92 = 223,735.92 : x
  2. Step 2: Convert to fraction form
    103,986.91/223,735.92 = 223,735.92/x
  3. Step 3: Cross multiply
    103,986.91x = 223,735.92 × 223,735.92
  4. Step 4: Simplify right side
    103,986.91x = 50,057,762,737.26
  5. Step 5: Solve for x
    x = 50,057,762,737.26/103,986.91
  6. Step 6: Final answer
    x = 481,385.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.