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Finding the Third Proportional to 129,632.91 and 196,260.47

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Solution

The third proportional to 129,632.91 and 196,260.47 is: 297,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,632.91 : 196,260.47 = 196,260.47 : x
  2. Step 2: Convert to fraction form
    129,632.91/196,260.47 = 196,260.47/x
  3. Step 3: Cross multiply
    129,632.91x = 196,260.47 × 196,260.47
  4. Step 4: Simplify right side
    129,632.91x = 38,518,171,593.97
  5. Step 5: Solve for x
    x = 38,518,171,593.97/129,632.91
  6. Step 6: Final answer
    x = 297,132.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.