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Finding the Third Proportional to 100,027.13 and 236,120.06

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Solution

The third proportional to 100,027.13 and 236,120.06 is: 557,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,027.13 : 236,120.06 = 236,120.06 : x
  2. Step 2: Convert to fraction form
    100,027.13/236,120.06 = 236,120.06/x
  3. Step 3: Cross multiply
    100,027.13x = 236,120.06 × 236,120.06
  4. Step 4: Simplify right side
    100,027.13x = 55,752,683,915.00
  5. Step 5: Solve for x
    x = 55,752,683,915.00/100,027.13
  6. Step 6: Final answer
    x = 557,375.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.