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Finding the Third Proportional to 48,286.13 and 100,981.69

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Solution

The third proportional to 48,286.13 and 100,981.69 is: 211,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286.13 : 100,981.69 = 100,981.69 : x
  2. Step 2: Convert to fraction form
    48,286.13/100,981.69 = 100,981.69/x
  3. Step 3: Cross multiply
    48,286.13x = 100,981.69 × 100,981.69
  4. Step 4: Simplify right side
    48,286.13x = 10,197,301,210.35
  5. Step 5: Solve for x
    x = 10,197,301,210.35/48,286.13
  6. Step 6: Final answer
    x = 211,184.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.