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Finding the Third Proportional to 131,446.13 and 196,951.50

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Solution

The third proportional to 131,446.13 and 196,951.50 is: 295,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,446.13 : 196,951.50 = 196,951.50 : x
  2. Step 2: Convert to fraction form
    131,446.13/196,951.50 = 196,951.50/x
  3. Step 3: Cross multiply
    131,446.13x = 196,951.50 × 196,951.50
  4. Step 4: Simplify right side
    131,446.13x = 38,789,893,352.25
  5. Step 5: Solve for x
    x = 38,789,893,352.25/131,446.13
  6. Step 6: Final answer
    x = 295,101.08

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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.