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Finding the Third Proportional to 49,317.19 and 106,516.69

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Solution

The third proportional to 49,317.19 and 106,516.69 is: 230,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317.19 : 106,516.69 = 106,516.69 : x
  2. Step 2: Convert to fraction form
    49,317.19/106,516.69 = 106,516.69/x
  3. Step 3: Cross multiply
    49,317.19x = 106,516.69 × 106,516.69
  4. Step 4: Simplify right side
    49,317.19x = 11,345,804,715.97
  5. Step 5: Solve for x
    x = 11,345,804,715.97/49,317.19
  6. Step 6: Final answer
    x = 230,057.82

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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.