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Finding the Third Proportional to 110,889 and 233,644.50

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Solution

The third proportional to 110,889 and 233,644.50 is: 492,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,889 : 233,644.50 = 233,644.50 : x
  2. Step 2: Convert to fraction form
    110,889/233,644.50 = 233,644.50/x
  3. Step 3: Cross multiply
    110,889x = 233,644.50 × 233,644.50
  4. Step 4: Simplify right side
    110,889x = 54,589,752,380.25
  5. Step 5: Solve for x
    x = 54,589,752,380.25/110,889
  6. Step 6: Final answer
    x = 492,291.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.