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Finding the Third Proportional to 99,836,457,860 and 202,450,981,777

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Solution

The third proportional to 99,836,457,860 and 202,450,981,777 is: 410,535,398,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,836,457,860 : 202,450,981,777 = 202,450,981,777 : x
  2. Step 2: Convert to fraction form
    99,836,457,860/202,450,981,777 = 202,450,981,777/x
  3. Step 3: Cross multiply
    99,836,457,860x = 202,450,981,777 × 202,450,981,777
  4. Step 4: Simplify right side
    99,836,457,860x = 40,986,400,022,471,188,152,320
  5. Step 5: Solve for x
    x = 40,986,400,022,471,188,152,320/99,836,457,860
  6. Step 6: Final answer
    x = 410,535,398,601.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.