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Finding the Third Proportional to 193,899,270 and 290,161,914

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Solution

The third proportional to 193,899,270 and 290,161,914 is: 434,214,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,899,270 : 290,161,914 = 290,161,914 : x
  2. Step 2: Convert to fraction form
    193,899,270/290,161,914 = 290,161,914/x
  3. Step 3: Cross multiply
    193,899,270x = 290,161,914 × 290,161,914
  4. Step 4: Simplify right side
    193,899,270x = 84,193,936,336,143,392
  5. Step 5: Solve for x
    x = 84,193,936,336,143,392/193,899,270
  6. Step 6: Final answer
    x = 434,214,818.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.