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Finding the Third Proportional to 50,778.89 and 110,032.41

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Solution

The third proportional to 50,778.89 and 110,032.41 is: 238,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778.89 : 110,032.41 = 110,032.41 : x
  2. Step 2: Convert to fraction form
    50,778.89/110,032.41 = 110,032.41/x
  3. Step 3: Cross multiply
    50,778.89x = 110,032.41 × 110,032.41
  4. Step 4: Simplify right side
    50,778.89x = 12,107,130,425.17
  5. Step 5: Solve for x
    x = 12,107,130,425.17/50,778.89
  6. Step 6: Final answer
    x = 238,428.42

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Why These Related Problems?

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