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Finding the Third Proportional to 99,756 and 213,338

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Solution

The third proportional to 99,756 and 213,338 is: 456,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,756 : 213,338 = 213,338 : x
  2. Step 2: Convert to fraction form
    99,756/213,338 = 213,338/x
  3. Step 3: Cross multiply
    99,756x = 213,338 × 213,338
  4. Step 4: Simplify right side
    99,756x = 45,513,102,244
  5. Step 5: Solve for x
    x = 45,513,102,244/99,756
  6. Step 6: Final answer
    x = 456,244.26

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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.