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Finding the Third Proportional to 131,214.38 and 196,787.44

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Solution

The third proportional to 131,214.38 and 196,787.44 is: 295,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,214.38 : 196,787.44 = 196,787.44 : x
  2. Step 2: Convert to fraction form
    131,214.38/196,787.44 = 196,787.44/x
  3. Step 3: Cross multiply
    131,214.38x = 196,787.44 × 196,787.44
  4. Step 4: Simplify right side
    131,214.38x = 38,725,295,557.82
  5. Step 5: Solve for x
    x = 38,725,295,557.82/131,214.38
  6. Step 6: Final answer
    x = 295,129.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.