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Finding the Third Proportional to 50,868 and 108,772.88

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Solution

The third proportional to 50,868 and 108,772.88 is: 232,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,868 : 108,772.88 = 108,772.88 : x
  2. Step 2: Convert to fraction form
    50,868/108,772.88 = 108,772.88/x
  3. Step 3: Cross multiply
    50,868x = 108,772.88 × 108,772.88
  4. Step 4: Simplify right side
    50,868x = 11,831,538,335.77
  5. Step 5: Solve for x
    x = 11,831,538,335.77/50,868
  6. Step 6: Final answer
    x = 232,592.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.