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Finding the Third Proportional to 87,183.84 and 188,309.81

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Solution

The third proportional to 87,183.84 and 188,309.81 is: 406,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,183.84 : 188,309.81 = 188,309.81 : x
  2. Step 2: Convert to fraction form
    87,183.84/188,309.81 = 188,309.81/x
  3. Step 3: Cross multiply
    87,183.84x = 188,309.81 × 188,309.81
  4. Step 4: Simplify right side
    87,183.84x = 35,460,585,483.79
  5. Step 5: Solve for x
    x = 35,460,585,483.79/87,183.84
  6. Step 6: Final answer
    x = 406,733.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.