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Finding the Third Proportional to 202,468,372.50 and 302,375,799

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Solution

The third proportional to 202,468,372.50 and 302,375,799 is: 451,582,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468,372.50 : 302,375,799 = 302,375,799 : x
  2. Step 2: Convert to fraction form
    202,468,372.50/302,375,799 = 302,375,799/x
  3. Step 3: Cross multiply
    202,468,372.50x = 302,375,799 × 302,375,799
  4. Step 4: Simplify right side
    202,468,372.50x = 91,431,123,820,888,400
  5. Step 5: Solve for x
    x = 91,431,123,820,888,400/202,468,372.50
  6. Step 6: Final answer
    x = 451,582,253.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.