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Finding the Third Proportional to 49,515.05 and 102,823.17

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Solution

The third proportional to 49,515.05 and 102,823.17 is: 213,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,515.05 : 102,823.17 = 102,823.17 : x
  2. Step 2: Convert to fraction form
    49,515.05/102,823.17 = 102,823.17/x
  3. Step 3: Cross multiply
    49,515.05x = 102,823.17 × 102,823.17
  4. Step 4: Simplify right side
    49,515.05x = 10,572,604,674.44
  5. Step 5: Solve for x
    x = 10,572,604,674.44/49,515.05
  6. Step 6: Final answer
    x = 213,523.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.