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Finding the Third Proportional to 101,246.63 and 217,819.13

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Solution

The third proportional to 101,246.63 and 217,819.13 is: 468,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,246.63 : 217,819.13 = 217,819.13 : x
  2. Step 2: Convert to fraction form
    101,246.63/217,819.13 = 217,819.13/x
  3. Step 3: Cross multiply
    101,246.63x = 217,819.13 × 217,819.13
  4. Step 4: Simplify right side
    101,246.63x = 47,445,171,215.77
  5. Step 5: Solve for x
    x = 47,445,171,215.77/101,246.63
  6. Step 6: Final answer
    x = 468,609.90

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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.