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Finding the Third Proportional to 185,389,186.50 and 280,469,799

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Solution

The third proportional to 185,389,186.50 and 280,469,799 is: 424,314,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,186.50 : 280,469,799 = 280,469,799 : x
  2. Step 2: Convert to fraction form
    185,389,186.50/280,469,799 = 280,469,799/x
  3. Step 3: Cross multiply
    185,389,186.50x = 280,469,799 × 280,469,799
  4. Step 4: Simplify right side
    185,389,186.50x = 78,663,308,151,100,400
  5. Step 5: Solve for x
    x = 78,663,308,151,100,400/185,389,186.50
  6. Step 6: Final answer
    x = 424,314,436.22

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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.