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Finding the Third Proportional to 99,766 and 213,356

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Solution

The third proportional to 99,766 and 213,356 is: 456,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766 : 213,356 = 213,356 : x
  2. Step 2: Convert to fraction form
    99,766/213,356 = 213,356/x
  3. Step 3: Cross multiply
    99,766x = 213,356 × 213,356
  4. Step 4: Simplify right side
    99,766x = 45,520,782,736
  5. Step 5: Solve for x
    x = 45,520,782,736/99,766
  6. Step 6: Final answer
    x = 456,275.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.