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Finding the Third Proportional to 49,465.69 and 108,393.19

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Solution

The third proportional to 49,465.69 and 108,393.19 is: 237,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,465.69 : 108,393.19 = 108,393.19 : x
  2. Step 2: Convert to fraction form
    49,465.69/108,393.19 = 108,393.19/x
  3. Step 3: Cross multiply
    49,465.69x = 108,393.19 × 108,393.19
  4. Step 4: Simplify right side
    49,465.69x = 11,749,083,096.41
  5. Step 5: Solve for x
    x = 11,749,083,096.41/49,465.69
  6. Step 6: Final answer
    x = 237,519.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.