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Finding the Third Proportional to 131,599.69 and 196,521.19

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Solution

The third proportional to 131,599.69 and 196,521.19 is: 293,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,599.69 : 196,521.19 = 196,521.19 : x
  2. Step 2: Convert to fraction form
    131,599.69/196,521.19 = 196,521.19/x
  3. Step 3: Cross multiply
    131,599.69x = 196,521.19 × 196,521.19
  4. Step 4: Simplify right side
    131,599.69x = 38,620,577,136.41
  5. Step 5: Solve for x
    x = 38,620,577,136.41/131,599.69
  6. Step 6: Final answer
    x = 293,470.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.