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Finding the Third Proportional to 50,766.38 and 110,007.38

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Solution

The third proportional to 50,766.38 and 110,007.38 is: 238,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,766.38 : 110,007.38 = 110,007.38 : x
  2. Step 2: Convert to fraction form
    50,766.38/110,007.38 = 110,007.38/x
  3. Step 3: Cross multiply
    50,766.38x = 110,007.38 × 110,007.38
  4. Step 4: Simplify right side
    50,766.38x = 12,101,622,554.39
  5. Step 5: Solve for x
    x = 12,101,622,554.39/50,766.38
  6. Step 6: Final answer
    x = 238,378.70

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