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Finding the Third Proportional to 83,801,713.50 and 180,410,942.25

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Solution

The third proportional to 83,801,713.50 and 180,410,942.25 is: 388,394,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801,713.50 : 180,410,942.25 = 180,410,942.25 : x
  2. Step 2: Convert to fraction form
    83,801,713.50/180,410,942.25 = 180,410,942.25/x
  3. Step 3: Cross multiply
    83,801,713.50x = 180,410,942.25 × 180,410,942.25
  4. Step 4: Simplify right side
    83,801,713.50x = 32,548,108,083,532,836
  5. Step 5: Solve for x
    x = 32,548,108,083,532,836/83,801,713.50
  6. Step 6: Final answer
    x = 388,394,302.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.