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Finding the Third Proportional to 110,847.23 and 243,837.84

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Solution

The third proportional to 110,847.23 and 243,837.84 is: 536,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,847.23 : 243,837.84 = 243,837.84 : x
  2. Step 2: Convert to fraction form
    110,847.23/243,837.84 = 243,837.84/x
  3. Step 3: Cross multiply
    110,847.23x = 243,837.84 × 243,837.84
  4. Step 4: Simplify right side
    110,847.23x = 59,456,894,044.65
  5. Step 5: Solve for x
    x = 59,456,894,044.65/110,847.23
  6. Step 6: Final answer
    x = 536,385.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.