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Finding the Third Proportional to 49,888.41 and 105,396.19

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Solution

The third proportional to 49,888.41 and 105,396.19 is: 222,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,888.41 : 105,396.19 = 105,396.19 : x
  2. Step 2: Convert to fraction form
    49,888.41/105,396.19 = 105,396.19/x
  3. Step 3: Cross multiply
    49,888.41x = 105,396.19 × 105,396.19
  4. Step 4: Simplify right side
    49,888.41x = 11,108,356,339.54
  5. Step 5: Solve for x
    x = 11,108,356,339.54/49,888.41
  6. Step 6: Final answer
    x = 222,664.09

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Why These Related Problems?

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