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Finding the Third Proportional to 116,413.31 and 209,703.38

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Solution

The third proportional to 116,413.31 and 209,703.38 is: 377,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,413.31 : 209,703.38 = 209,703.38 : x
  2. Step 2: Convert to fraction form
    116,413.31/209,703.38 = 209,703.38/x
  3. Step 3: Cross multiply
    116,413.31x = 209,703.38 × 209,703.38
  4. Step 4: Simplify right side
    116,413.31x = 43,975,505,486.39
  5. Step 5: Solve for x
    x = 43,975,505,486.39/116,413.31
  6. Step 6: Final answer
    x = 377,753.24

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.