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Finding the Third Proportional to 49,880.81 and 107,674.31

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Solution

The third proportional to 49,880.81 and 107,674.31 is: 232,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,880.81 : 107,674.31 = 107,674.31 : x
  2. Step 2: Convert to fraction form
    49,880.81/107,674.31 = 107,674.31/x
  3. Step 3: Cross multiply
    49,880.81x = 107,674.31 × 107,674.31
  4. Step 4: Simplify right side
    49,880.81x = 11,593,757,572.35
  5. Step 5: Solve for x
    x = 11,593,757,572.35/49,880.81
  6. Step 6: Final answer
    x = 232,429.20

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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.