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Finding the Third Proportional to 49,778.30 and 107,480.67

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Solution

The third proportional to 49,778.30 and 107,480.67 is: 232,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,778.30 : 107,480.67 = 107,480.67 : x
  2. Step 2: Convert to fraction form
    49,778.30/107,480.67 = 107,480.67/x
  3. Step 3: Cross multiply
    49,778.30x = 107,480.67 × 107,480.67
  4. Step 4: Simplify right side
    49,778.30x = 11,552,094,826.70
  5. Step 5: Solve for x
    x = 11,552,094,826.70/49,778.30
  6. Step 6: Final answer
    x = 232,070.91

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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.