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Finding the Third Proportional to 49,265.72 and 102,034.69

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Solution

The third proportional to 49,265.72 and 102,034.69 is: 211,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265.72 : 102,034.69 = 102,034.69 : x
  2. Step 2: Convert to fraction form
    49,265.72/102,034.69 = 102,034.69/x
  3. Step 3: Cross multiply
    49,265.72x = 102,034.69 × 102,034.69
  4. Step 4: Simplify right side
    49,265.72x = 10,411,077,453.22
  5. Step 5: Solve for x
    x = 10,411,077,453.22/49,265.72
  6. Step 6: Final answer
    x = 211,324.99

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.