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Finding the Third Proportional to 100,747.13 and 211,835.25

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Solution

The third proportional to 100,747.13 and 211,835.25 is: 445,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,747.13 : 211,835.25 = 211,835.25 : x
  2. Step 2: Convert to fraction form
    100,747.13/211,835.25 = 211,835.25/x
  3. Step 3: Cross multiply
    100,747.13x = 211,835.25 × 211,835.25
  4. Step 4: Simplify right side
    100,747.13x = 44,874,173,142.56
  5. Step 5: Solve for x
    x = 44,874,173,142.56/100,747.13
  6. Step 6: Final answer
    x = 445,413.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.