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Finding the Third Proportional to 36,431,494.50 and 86,002,365

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Solution

The third proportional to 36,431,494.50 and 86,002,365 is: 203,022,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431,494.50 : 86,002,365 = 86,002,365 : x
  2. Step 2: Convert to fraction form
    36,431,494.50/86,002,365 = 86,002,365/x
  3. Step 3: Cross multiply
    36,431,494.50x = 86,002,365 × 86,002,365
  4. Step 4: Simplify right side
    36,431,494.50x = 7,396,406,785,593,225
  5. Step 5: Solve for x
    x = 7,396,406,785,593,225/36,431,494.50
  6. Step 6: Final answer
    x = 203,022,326.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.