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Finding the Third Proportional to 50,229 and 110,155.50

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Solution

The third proportional to 50,229 and 110,155.50 is: 241,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,229 : 110,155.50 = 110,155.50 : x
  2. Step 2: Convert to fraction form
    50,229/110,155.50 = 110,155.50/x
  3. Step 3: Cross multiply
    50,229x = 110,155.50 × 110,155.50
  4. Step 4: Simplify right side
    50,229x = 12,134,234,180.25
  5. Step 5: Solve for x
    x = 12,134,234,180.25/50,229
  6. Step 6: Final answer
    x = 241,578.26

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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.