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Finding the Third Proportional to 110,926.41 and 242,843.06

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Solution

The third proportional to 110,926.41 and 242,843.06 is: 531,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,926.41 : 242,843.06 = 242,843.06 : x
  2. Step 2: Convert to fraction form
    110,926.41/242,843.06 = 242,843.06/x
  3. Step 3: Cross multiply
    110,926.41x = 242,843.06 × 242,843.06
  4. Step 4: Simplify right side
    110,926.41x = 58,972,753,004.38
  5. Step 5: Solve for x
    x = 58,972,753,004.38/110,926.41
  6. Step 6: Final answer
    x = 531,638.54

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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.