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Finding the Third Proportional to 48,443.91 and 103,894.31

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Solution

The third proportional to 48,443.91 and 103,894.31 is: 222,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,443.91 : 103,894.31 = 103,894.31 : x
  2. Step 2: Convert to fraction form
    48,443.91/103,894.31 = 103,894.31/x
  3. Step 3: Cross multiply
    48,443.91x = 103,894.31 × 103,894.31
  4. Step 4: Simplify right side
    48,443.91x = 10,794,028,169.85
  5. Step 5: Solve for x
    x = 10,794,028,169.85/48,443.91
  6. Step 6: Final answer
    x = 222,814.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.