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Finding the Third Proportional to 99,741 and 213,306

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Solution

The third proportional to 99,741 and 213,306 is: 456,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,741 : 213,306 = 213,306 : x
  2. Step 2: Convert to fraction form
    99,741/213,306 = 213,306/x
  3. Step 3: Cross multiply
    99,741x = 213,306 × 213,306
  4. Step 4: Simplify right side
    99,741x = 45,499,449,636
  5. Step 5: Solve for x
    x = 45,499,449,636/99,741
  6. Step 6: Final answer
    x = 456,175.99

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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.