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Finding the Third Proportional to 49,382.16 and 106,661.81

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Solution

The third proportional to 49,382.16 and 106,661.81 is: 230,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.16 : 106,661.81 = 106,661.81 : x
  2. Step 2: Convert to fraction form
    49,382.16/106,661.81 = 106,661.81/x
  3. Step 3: Cross multiply
    49,382.16x = 106,661.81 × 106,661.81
  4. Step 4: Simplify right side
    49,382.16x = 11,376,742,245.79
  5. Step 5: Solve for x
    x = 11,376,742,245.79/49,382.16
  6. Step 6: Final answer
    x = 230,381.64

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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.