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Finding the Third Proportional to 52,743.38 and 107,444.81

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Solution

The third proportional to 52,743.38 and 107,444.81 is: 218,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743.38 : 107,444.81 = 107,444.81 : x
  2. Step 2: Convert to fraction form
    52,743.38/107,444.81 = 107,444.81/x
  3. Step 3: Cross multiply
    52,743.38x = 107,444.81 × 107,444.81
  4. Step 4: Simplify right side
    52,743.38x = 11,544,387,733.16
  5. Step 5: Solve for x
    x = 11,544,387,733.16/52,743.38
  6. Step 6: Final answer
    x = 218,878.44

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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.