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Finding the Third Proportional to 185,389,215.75 and 280,469,850.75

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Solution

The third proportional to 185,389,215.75 and 280,469,850.75 is: 424,314,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,215.75 : 280,469,850.75 = 280,469,850.75 : x
  2. Step 2: Convert to fraction form
    185,389,215.75/280,469,850.75 = 280,469,850.75/x
  3. Step 3: Cross multiply
    185,389,215.75x = 280,469,850.75 × 280,469,850.75
  4. Step 4: Simplify right side
    185,389,215.75x = 78,663,337,179,727,280
  5. Step 5: Solve for x
    x = 78,663,337,179,727,280/185,389,215.75
  6. Step 6: Final answer
    x = 424,314,525.86

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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.