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Finding the Third Proportional to 48,858.19 and 107,067.66

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Solution

The third proportional to 48,858.19 and 107,067.66 is: 234,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858.19 : 107,067.66 = 107,067.66 : x
  2. Step 2: Convert to fraction form
    48,858.19/107,067.66 = 107,067.66/x
  3. Step 3: Cross multiply
    48,858.19x = 107,067.66 × 107,067.66
  4. Step 4: Simplify right side
    48,858.19x = 11,463,483,014.87
  5. Step 5: Solve for x
    x = 11,463,483,014.87/48,858.19
  6. Step 6: Final answer
    x = 234,627.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.