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Finding the Third Proportional to 96,498 and 212,628.75

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Solution

The third proportional to 96,498 and 212,628.75 is: 468,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498 : 212,628.75 = 212,628.75 : x
  2. Step 2: Convert to fraction form
    96,498/212,628.75 = 212,628.75/x
  3. Step 3: Cross multiply
    96,498x = 212,628.75 × 212,628.75
  4. Step 4: Simplify right side
    96,498x = 45,210,985,326.56
  5. Step 5: Solve for x
    x = 45,210,985,326.56/96,498
  6. Step 6: Final answer
    x = 468,517.33

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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.