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Finding the Third Proportional to 100,581.75 and 217,497.38

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Solution

The third proportional to 100,581.75 and 217,497.38 is: 470,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.75 : 217,497.38 = 217,497.38 : x
  2. Step 2: Convert to fraction form
    100,581.75/217,497.38 = 217,497.38/x
  3. Step 3: Cross multiply
    100,581.75x = 217,497.38 × 217,497.38
  4. Step 4: Simplify right side
    100,581.75x = 47,305,108,131.89
  5. Step 5: Solve for x
    x = 47,305,108,131.89/100,581.75
  6. Step 6: Final answer
    x = 470,315.02

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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.