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Finding the Third Proportional to 99,563 and 214,974

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Solution

The third proportional to 99,563 and 214,974 is: 464,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,563 : 214,974 = 214,974 : x
  2. Step 2: Convert to fraction form
    99,563/214,974 = 214,974/x
  3. Step 3: Cross multiply
    99,563x = 214,974 × 214,974
  4. Step 4: Simplify right side
    99,563x = 46,213,820,676
  5. Step 5: Solve for x
    x = 46,213,820,676/99,563
  6. Step 6: Final answer
    x = 464,166.61

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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.