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Finding the Third Proportional to 96,759.56 and 212,594.63

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Solution

The third proportional to 96,759.56 and 212,594.63 is: 467,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,759.56 : 212,594.63 = 212,594.63 : x
  2. Step 2: Convert to fraction form
    96,759.56/212,594.63 = 212,594.63/x
  3. Step 3: Cross multiply
    96,759.56x = 212,594.63 × 212,594.63
  4. Step 4: Simplify right side
    96,759.56x = 45,196,474,578.89
  5. Step 5: Solve for x
    x = 45,196,474,578.89/96,759.56
  6. Step 6: Final answer
    x = 467,100.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.