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Finding the Third Proportional to 39,694,092 and 85,131,523.50

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Solution

The third proportional to 39,694,092 and 85,131,523.50 is: 182,580,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,694,092 : 85,131,523.50 = 85,131,523.50 : x
  2. Step 2: Convert to fraction form
    39,694,092/85,131,523.50 = 85,131,523.50/x
  3. Step 3: Cross multiply
    39,694,092x = 85,131,523.50 × 85,131,523.50
  4. Step 4: Simplify right side
    39,694,092x = 7,247,376,293,431,052
  5. Step 5: Solve for x
    x = 7,247,376,293,431,052/39,694,092
  6. Step 6: Final answer
    x = 182,580,729.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.