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Finding the Third Proportional to 36,431,491.50 and 86,002,357.50

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Solution

The third proportional to 36,431,491.50 and 86,002,357.50 is: 203,022,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431,491.50 : 86,002,357.50 = 86,002,357.50 : x
  2. Step 2: Convert to fraction form
    36,431,491.50/86,002,357.50 = 86,002,357.50/x
  3. Step 3: Cross multiply
    36,431,491.50x = 86,002,357.50 × 86,002,357.50
  4. Step 4: Simplify right side
    36,431,491.50x = 7,396,405,495,557,806
  5. Step 5: Solve for x
    x = 7,396,405,495,557,806/36,431,491.50
  6. Step 6: Final answer
    x = 203,022,308.20

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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.