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Finding the Third Proportional to 99,662 and 214,977

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Solution

The third proportional to 99,662 and 214,977 is: 463,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,662 : 214,977 = 214,977 : x
  2. Step 2: Convert to fraction form
    99,662/214,977 = 214,977/x
  3. Step 3: Cross multiply
    99,662x = 214,977 × 214,977
  4. Step 4: Simplify right side
    99,662x = 46,215,110,529
  5. Step 5: Solve for x
    x = 46,215,110,529/99,662
  6. Step 6: Final answer
    x = 463,718.47

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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.