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Finding the Third Proportional to 221,005,567 and 368,320,413.25

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Solution

The third proportional to 221,005,567 and 368,320,413.25 is: 613,830,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,005,567 : 368,320,413.25 = 368,320,413.25 : x
  2. Step 2: Convert to fraction form
    221,005,567/368,320,413.25 = 368,320,413.25/x
  3. Step 3: Cross multiply
    221,005,567x = 368,320,413.25 × 368,320,413.25
  4. Step 4: Simplify right side
    221,005,567x = 135,659,926,816,650,768
  5. Step 5: Solve for x
    x = 135,659,926,816,650,768/221,005,567
  6. Step 6: Final answer
    x = 613,830,360.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.