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Finding the Third Proportional to 89,933 and 196,999

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Solution

The third proportional to 89,933 and 196,999 is: 431,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,933 : 196,999 = 196,999 : x
  2. Step 2: Convert to fraction form
    89,933/196,999 = 196,999/x
  3. Step 3: Cross multiply
    89,933x = 196,999 × 196,999
  4. Step 4: Simplify right side
    89,933x = 38,808,606,001
  5. Step 5: Solve for x
    x = 38,808,606,001/89,933
  6. Step 6: Final answer
    x = 431,527.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.