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Finding the Third Proportional to 194,276,016 and 422,591,243.50

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Solution

The third proportional to 194,276,016 and 422,591,243.50 is: 919,224,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,276,016 : 422,591,243.50 = 422,591,243.50 : x
  2. Step 2: Convert to fraction form
    194,276,016/422,591,243.50 = 422,591,243.50/x
  3. Step 3: Cross multiply
    194,276,016x = 422,591,243.50 × 422,591,243.50
  4. Step 4: Simplify right side
    194,276,016x = 178,583,359,082,876,288
  5. Step 5: Solve for x
    x = 178,583,359,082,876,288/194,276,016
  6. Step 6: Final answer
    x = 919,224,939.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.