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Finding the Third Proportional to 52,768.69 and 107,686.69

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Solution

The third proportional to 52,768.69 and 107,686.69 is: 219,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768.69 : 107,686.69 = 107,686.69 : x
  2. Step 2: Convert to fraction form
    52,768.69/107,686.69 = 107,686.69/x
  3. Step 3: Cross multiply
    52,768.69x = 107,686.69 × 107,686.69
  4. Step 4: Simplify right side
    52,768.69x = 11,596,422,664.72
  5. Step 5: Solve for x
    x = 11,596,422,664.72/52,768.69
  6. Step 6: Final answer
    x = 219,759.54

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.