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Finding the Third Proportional to 194,434,897 and 284,270,611

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Solution

The third proportional to 194,434,897 and 284,270,611 is: 415,613,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434,897 : 284,270,611 = 284,270,611 : x
  2. Step 2: Convert to fraction form
    194,434,897/284,270,611 = 284,270,611/x
  3. Step 3: Cross multiply
    194,434,897x = 284,270,611 × 284,270,611
  4. Step 4: Simplify right side
    194,434,897x = 80,809,780,278,313,328
  5. Step 5: Solve for x
    x = 80,809,780,278,313,328/194,434,897
  6. Step 6: Final answer
    x = 415,613,562.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.