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Finding the Third Proportional to 230,545,764 and 356,591,942

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Solution

The third proportional to 230,545,764 and 356,591,942 is: 551,551,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,545,764 : 356,591,942 = 356,591,942 : x
  2. Step 2: Convert to fraction form
    230,545,764/356,591,942 = 356,591,942/x
  3. Step 3: Cross multiply
    230,545,764x = 356,591,942 × 356,591,942
  4. Step 4: Simplify right side
    230,545,764x = 127,157,813,099,331,360
  5. Step 5: Solve for x
    x = 127,157,813,099,331,360/230,545,764
  6. Step 6: Final answer
    x = 551,551,288.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.