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Finding the Third Proportional to 91,524 and 213,816

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Solution

The third proportional to 91,524 and 213,816 is: 499,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,524 : 213,816 = 213,816 : x
  2. Step 2: Convert to fraction form
    91,524/213,816 = 213,816/x
  3. Step 3: Cross multiply
    91,524x = 213,816 × 213,816
  4. Step 4: Simplify right side
    91,524x = 45,717,281,856
  5. Step 5: Solve for x
    x = 45,717,281,856/91,524
  6. Step 6: Final answer
    x = 499,511.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.