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Finding the Third Proportional to 100,573.31 and 209,413.69

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Solution

The third proportional to 100,573.31 and 209,413.69 is: 436,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,573.31 : 209,413.69 = 209,413.69 : x
  2. Step 2: Convert to fraction form
    100,573.31/209,413.69 = 209,413.69/x
  3. Step 3: Cross multiply
    100,573.31x = 209,413.69 × 209,413.69
  4. Step 4: Simplify right side
    100,573.31x = 43,854,092,512.35
  5. Step 5: Solve for x
    x = 43,854,092,512.35/100,573.31
  6. Step 6: Final answer
    x = 436,041.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.