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Finding the Third Proportional to 49,509.75 and 106,910.75

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Solution

The third proportional to 49,509.75 and 106,910.75 is: 230,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.75 : 106,910.75 = 106,910.75 : x
  2. Step 2: Convert to fraction form
    49,509.75/106,910.75 = 106,910.75/x
  3. Step 3: Cross multiply
    49,509.75x = 106,910.75 × 106,910.75
  4. Step 4: Simplify right side
    49,509.75x = 11,429,908,465.56
  5. Step 5: Solve for x
    x = 11,429,908,465.56/49,509.75
  6. Step 6: Final answer
    x = 230,861.77

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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.