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Finding the Third Proportional to 194,412,274 and 425,139,318

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Solution

The third proportional to 194,412,274 and 425,139,318 is: 929,691,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,412,274 : 425,139,318 = 425,139,318 : x
  2. Step 2: Convert to fraction form
    194,412,274/425,139,318 = 425,139,318/x
  3. Step 3: Cross multiply
    194,412,274x = 425,139,318 × 425,139,318
  4. Step 4: Simplify right side
    194,412,274x = 180,743,439,709,505,120
  5. Step 5: Solve for x
    x = 180,743,439,709,505,120/194,412,274
  6. Step 6: Final answer
    x = 929,691,505.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.