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Finding the Third Proportional to 99,276 and 214,103

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Solution

The third proportional to 99,276 and 214,103 is: 461,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,276 : 214,103 = 214,103 : x
  2. Step 2: Convert to fraction form
    99,276/214,103 = 214,103/x
  3. Step 3: Cross multiply
    99,276x = 214,103 × 214,103
  4. Step 4: Simplify right side
    99,276x = 45,840,094,609
  5. Step 5: Solve for x
    x = 45,840,094,609/99,276
  6. Step 6: Final answer
    x = 461,743.97

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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.