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Finding the Third Proportional to 99,626 and 214,994

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Solution

The third proportional to 99,626 and 214,994 is: 463,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,626 : 214,994 = 214,994 : x
  2. Step 2: Convert to fraction form
    99,626/214,994 = 214,994/x
  3. Step 3: Cross multiply
    99,626x = 214,994 × 214,994
  4. Step 4: Simplify right side
    99,626x = 46,222,420,036
  5. Step 5: Solve for x
    x = 46,222,420,036/99,626
  6. Step 6: Final answer
    x = 463,959.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.