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Finding the Third Proportional to 100,608.19 and 213,207.19

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Solution

The third proportional to 100,608.19 and 213,207.19 is: 451,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608.19 : 213,207.19 = 213,207.19 : x
  2. Step 2: Convert to fraction form
    100,608.19/213,207.19 = 213,207.19/x
  3. Step 3: Cross multiply
    100,608.19x = 213,207.19 × 213,207.19
  4. Step 4: Simplify right side
    100,608.19x = 45,457,304,801.66
  5. Step 5: Solve for x
    x = 45,457,304,801.66/100,608.19
  6. Step 6: Final answer
    x = 451,825.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.