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Finding the Third Proportional to 101,768.91 and 217,543.38

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Solution

The third proportional to 101,768.91 and 217,543.38 is: 465,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768.91 : 217,543.38 = 217,543.38 : x
  2. Step 2: Convert to fraction form
    101,768.91/217,543.38 = 217,543.38/x
  3. Step 3: Cross multiply
    101,768.91x = 217,543.38 × 217,543.38
  4. Step 4: Simplify right side
    101,768.91x = 47,325,120,856.17
  5. Step 5: Solve for x
    x = 47,325,120,856.17/101,768.91
  6. Step 6: Final answer
    x = 465,025.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.