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Finding the Third Proportional to 49,639.50 and 107,618.63

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Solution

The third proportional to 49,639.50 and 107,618.63 is: 233,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,639.50 : 107,618.63 = 107,618.63 : x
  2. Step 2: Convert to fraction form
    49,639.50/107,618.63 = 107,618.63/x
  3. Step 3: Cross multiply
    49,639.50x = 107,618.63 × 107,618.63
  4. Step 4: Simplify right side
    49,639.50x = 11,581,768,446.89
  5. Step 5: Solve for x
    x = 11,581,768,446.89/49,639.50
  6. Step 6: Final answer
    x = 233,317.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.