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Finding the Third Proportional to 185,389,141 and 280,469,728

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Solution

The third proportional to 185,389,141 and 280,469,728 is: 424,314,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,141 : 280,469,728 = 280,469,728 : x
  2. Step 2: Convert to fraction form
    185,389,141/280,469,728 = 280,469,728/x
  3. Step 3: Cross multiply
    185,389,141x = 280,469,728 × 280,469,728
  4. Step 4: Simplify right side
    185,389,141x = 78,663,268,324,393,984
  5. Step 5: Solve for x
    x = 78,663,268,324,393,984/185,389,141
  6. Step 6: Final answer
    x = 424,314,325.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.