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Finding the Third Proportional to 102,738.38 and 220,785.75

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Solution

The third proportional to 102,738.38 and 220,785.75 is: 474,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738.38 : 220,785.75 = 220,785.75 : x
  2. Step 2: Convert to fraction form
    102,738.38/220,785.75 = 220,785.75/x
  3. Step 3: Cross multiply
    102,738.38x = 220,785.75 × 220,785.75
  4. Step 4: Simplify right side
    102,738.38x = 48,746,347,403.06
  5. Step 5: Solve for x
    x = 48,746,347,403.06/102,738.38
  6. Step 6: Final answer
    x = 474,470.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.