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Finding the Third Proportional to 233,485,236 and 343,201,204

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Solution

The third proportional to 233,485,236 and 343,201,204 is: 504,473,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,485,236 : 343,201,204 = 343,201,204 : x
  2. Step 2: Convert to fraction form
    233,485,236/343,201,204 = 343,201,204/x
  3. Step 3: Cross multiply
    233,485,236x = 343,201,204 × 343,201,204
  4. Step 4: Simplify right side
    233,485,236x = 117,787,066,427,049,616
  5. Step 5: Solve for x
    x = 117,787,066,427,049,616/233,485,236
  6. Step 6: Final answer
    x = 504,473,295.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.