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Finding the Third Proportional to 100,759.88 and 217,253.63

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Solution

The third proportional to 100,759.88 and 217,253.63 is: 468,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,759.88 : 217,253.63 = 217,253.63 : x
  2. Step 2: Convert to fraction form
    100,759.88/217,253.63 = 217,253.63/x
  3. Step 3: Cross multiply
    100,759.88x = 217,253.63 × 217,253.63
  4. Step 4: Simplify right side
    100,759.88x = 47,199,137,575.64
  5. Step 5: Solve for x
    x = 47,199,137,575.64/100,759.88
  6. Step 6: Final answer
    x = 468,431.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.