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Finding the Third Proportional to 49,514.63 and 106,921.69

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Solution

The third proportional to 49,514.63 and 106,921.69 is: 230,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,514.63 : 106,921.69 = 106,921.69 : x
  2. Step 2: Convert to fraction form
    49,514.63/106,921.69 = 106,921.69/x
  3. Step 3: Cross multiply
    49,514.63x = 106,921.69 × 106,921.69
  4. Step 4: Simplify right side
    49,514.63x = 11,432,247,257.85
  5. Step 5: Solve for x
    x = 11,432,247,257.85/49,514.63
  6. Step 6: Final answer
    x = 230,886.27

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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.