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Finding the Third Proportional to 50,881.92 and 108,000.21

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Solution

The third proportional to 50,881.92 and 108,000.21 is: 229,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,881.92 : 108,000.21 = 108,000.21 : x
  2. Step 2: Convert to fraction form
    50,881.92/108,000.21 = 108,000.21/x
  3. Step 3: Cross multiply
    50,881.92x = 108,000.21 × 108,000.21
  4. Step 4: Simplify right side
    50,881.92x = 11,664,045,562.54
  5. Step 5: Solve for x
    x = 11,664,045,562.54/50,881.92
  6. Step 6: Final answer
    x = 229,237.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.