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Finding the Third Proportional to 49,375.13 and 106,243.13

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Solution

The third proportional to 49,375.13 and 106,243.13 is: 228,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,375.13 : 106,243.13 = 106,243.13 : x
  2. Step 2: Convert to fraction form
    49,375.13/106,243.13 = 106,243.13/x
  3. Step 3: Cross multiply
    49,375.13x = 106,243.13 × 106,243.13
  4. Step 4: Simplify right side
    49,375.13x = 11,287,601,609.77
  5. Step 5: Solve for x
    x = 11,287,601,609.77/49,375.13
  6. Step 6: Final answer
    x = 228,609.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.