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Finding the Third Proportional to 50,778.88 and 110,032.31

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Solution

The third proportional to 50,778.88 and 110,032.31 is: 238,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778.88 : 110,032.31 = 110,032.31 : x
  2. Step 2: Convert to fraction form
    50,778.88/110,032.31 = 110,032.31/x
  3. Step 3: Cross multiply
    50,778.88x = 110,032.31 × 110,032.31
  4. Step 4: Simplify right side
    50,778.88x = 12,107,109,794.10
  5. Step 5: Solve for x
    x = 12,107,109,794.10/50,778.88
  6. Step 6: Final answer
    x = 238,428.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.