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Finding the Third Proportional to 50,882.63 and 110,815.31

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Solution

The third proportional to 50,882.63 and 110,815.31 is: 241,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.63 : 110,815.31 = 110,815.31 : x
  2. Step 2: Convert to fraction form
    50,882.63/110,815.31 = 110,815.31/x
  3. Step 3: Cross multiply
    50,882.63x = 110,815.31 × 110,815.31
  4. Step 4: Simplify right side
    50,882.63x = 12,280,033,484.47
  5. Step 5: Solve for x
    x = 12,280,033,484.47/50,882.63
  6. Step 6: Final answer
    x = 241,340.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.