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Finding the Third Proportional to 23,218.31 and 50,873.06

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Solution

The third proportional to 23,218.31 and 50,873.06 is: 111,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.31 : 50,873.06 = 50,873.06 : x
  2. Step 2: Convert to fraction form
    23,218.31/50,873.06 = 50,873.06/x
  3. Step 3: Cross multiply
    23,218.31x = 50,873.06 × 50,873.06
  4. Step 4: Simplify right side
    23,218.31x = 2,588,068,488.13
  5. Step 5: Solve for x
    x = 2,588,068,488.13/23,218.31
  6. Step 6: Final answer
    x = 111,466.69

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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.