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Finding the Third Proportional to 194,853,024 and 424,008,144

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Solution

The third proportional to 194,853,024 and 424,008,144 is: 922,659,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853,024 : 424,008,144 = 424,008,144 : x
  2. Step 2: Convert to fraction form
    194,853,024/424,008,144 = 424,008,144/x
  3. Step 3: Cross multiply
    194,853,024x = 424,008,144 × 424,008,144
  4. Step 4: Simplify right side
    194,853,024x = 179,782,906,178,324,736
  5. Step 5: Solve for x
    x = 179,782,906,178,324,736/194,853,024
  6. Step 6: Final answer
    x = 922,659,050.85

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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.