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Finding the Third Proportional to 49,639.50 and 96,771.38

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Solution

The third proportional to 49,639.50 and 96,771.38 is: 188,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,639.50 : 96,771.38 = 96,771.38 : x
  2. Step 2: Convert to fraction form
    49,639.50/96,771.38 = 96,771.38/x
  3. Step 3: Cross multiply
    49,639.50x = 96,771.38 × 96,771.38
  4. Step 4: Simplify right side
    49,639.50x = 9,364,699,019.39
  5. Step 5: Solve for x
    x = 9,364,699,019.39/49,639.50
  6. Step 6: Final answer
    x = 188,654.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.