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Finding the Third Proportional to 99,268 and 214,087

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Solution

The third proportional to 99,268 and 214,087 is: 461,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,268 : 214,087 = 214,087 : x
  2. Step 2: Convert to fraction form
    99,268/214,087 = 214,087/x
  3. Step 3: Cross multiply
    99,268x = 214,087 × 214,087
  4. Step 4: Simplify right side
    99,268x = 45,833,243,569
  5. Step 5: Solve for x
    x = 45,833,243,569/99,268
  6. Step 6: Final answer
    x = 461,712.17

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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.