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Finding the Third Proportional to 101,707 and 212,708.75

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Solution

The third proportional to 101,707 and 212,708.75 is: 444,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,707 : 212,708.75 = 212,708.75 : x
  2. Step 2: Convert to fraction form
    101,707/212,708.75 = 212,708.75/x
  3. Step 3: Cross multiply
    101,707x = 212,708.75 × 212,708.75
  4. Step 4: Simplify right side
    101,707x = 45,245,012,326.56
  5. Step 5: Solve for x
    x = 45,245,012,326.56/101,707
  6. Step 6: Final answer
    x = 444,856.42

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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.