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Finding the Third Proportional to 106,001.16 and 215,077.78

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Solution

The third proportional to 106,001.16 and 215,077.78 is: 436,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001.16 : 215,077.78 = 215,077.78 : x
  2. Step 2: Convert to fraction form
    106,001.16/215,077.78 = 215,077.78/x
  3. Step 3: Cross multiply
    106,001.16x = 215,077.78 × 215,077.78
  4. Step 4: Simplify right side
    106,001.16x = 46,258,451,987.42
  5. Step 5: Solve for x
    x = 46,258,451,987.42/106,001.16
  6. Step 6: Final answer
    x = 436,395.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.