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Finding the Third Proportional to 88,994 and 206,933

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Solution

The third proportional to 88,994 and 206,933 is: 481,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,994 : 206,933 = 206,933 : x
  2. Step 2: Convert to fraction form
    88,994/206,933 = 206,933/x
  3. Step 3: Cross multiply
    88,994x = 206,933 × 206,933
  4. Step 4: Simplify right side
    88,994x = 42,821,266,489
  5. Step 5: Solve for x
    x = 42,821,266,489/88,994
  6. Step 6: Final answer
    x = 481,170.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.