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Finding the Third Proportional to 131,311.13 and 196,966.69

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Solution

The third proportional to 131,311.13 and 196,966.69 is: 295,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,311.13 : 196,966.69 = 196,966.69 : x
  2. Step 2: Convert to fraction form
    131,311.13/196,966.69 = 196,966.69/x
  3. Step 3: Cross multiply
    131,311.13x = 196,966.69 × 196,966.69
  4. Step 4: Simplify right side
    131,311.13x = 38,795,875,984.72
  5. Step 5: Solve for x
    x = 38,795,875,984.72/131,311.13
  6. Step 6: Final answer
    x = 295,450.03

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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.