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Finding the Third Proportional to 99,106 and 217,016

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Solution

The third proportional to 99,106 and 217,016 is: 475,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,106 : 217,016 = 217,016 : x
  2. Step 2: Convert to fraction form
    99,106/217,016 = 217,016/x
  3. Step 3: Cross multiply
    99,106x = 217,016 × 217,016
  4. Step 4: Simplify right side
    99,106x = 47,095,944,256
  5. Step 5: Solve for x
    x = 47,095,944,256/99,106
  6. Step 6: Final answer
    x = 475,207.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.