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Finding the Third Proportional to 229,251,608 and 503,540,298

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Solution

The third proportional to 229,251,608 and 503,540,298 is: 1,106,002,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,251,608 : 503,540,298 = 503,540,298 : x
  2. Step 2: Convert to fraction form
    229,251,608/503,540,298 = 503,540,298/x
  3. Step 3: Cross multiply
    229,251,608x = 503,540,298 × 503,540,298
  4. Step 4: Simplify right side
    229,251,608x = 253,552,831,709,928,800
  5. Step 5: Solve for x
    x = 253,552,831,709,928,800/229,251,608
  6. Step 6: Final answer
    x = 1,106,002,413.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.