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Finding the Third Proportional to 76,108.88 and 164,413.13

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Solution

The third proportional to 76,108.88 and 164,413.13 is: 355,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108.88 : 164,413.13 = 164,413.13 : x
  2. Step 2: Convert to fraction form
    76,108.88/164,413.13 = 164,413.13/x
  3. Step 3: Cross multiply
    76,108.88x = 164,413.13 × 164,413.13
  4. Step 4: Simplify right side
    76,108.88x = 27,031,675,672.27
  5. Step 5: Solve for x
    x = 27,031,675,672.27/76,108.88
  6. Step 6: Final answer
    x = 355,171.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.