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Finding the Third Proportional to 103,873.50 and 227,511

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Solution

The third proportional to 103,873.50 and 227,511 is: 498,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,873.50 : 227,511 = 227,511 : x
  2. Step 2: Convert to fraction form
    103,873.50/227,511 = 227,511/x
  3. Step 3: Cross multiply
    103,873.50x = 227,511 × 227,511
  4. Step 4: Simplify right side
    103,873.50x = 51,761,255,121
  5. Step 5: Solve for x
    x = 51,761,255,121/103,873.50
  6. Step 6: Final answer
    x = 498,310.49

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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.