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Finding the Third Proportional to 49,772.81 and 107,496.84

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Solution

The third proportional to 49,772.81 and 107,496.84 is: 232,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772.81 : 107,496.84 = 107,496.84 : x
  2. Step 2: Convert to fraction form
    49,772.81/107,496.84 = 107,496.84/x
  3. Step 3: Cross multiply
    49,772.81x = 107,496.84 × 107,496.84
  4. Step 4: Simplify right side
    49,772.81x = 11,555,571,416.21
  5. Step 5: Solve for x
    x = 11,555,571,416.21/49,772.81
  6. Step 6: Final answer
    x = 232,166.33

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Why These Related Problems?

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