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Finding the Third Proportional to 49,219.52 and 100,514.67

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Solution

The third proportional to 49,219.52 and 100,514.67 is: 205,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,219.52 : 100,514.67 = 100,514.67 : x
  2. Step 2: Convert to fraction form
    49,219.52/100,514.67 = 100,514.67/x
  3. Step 3: Cross multiply
    49,219.52x = 100,514.67 × 100,514.67
  4. Step 4: Simplify right side
    49,219.52x = 10,103,199,262.14
  5. Step 5: Solve for x
    x = 10,103,199,262.14/49,219.52
  6. Step 6: Final answer
    x = 205,268.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.