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Finding the Third Proportional to 99,836,457,857.75 and 202,450,981,773

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Solution

The third proportional to 99,836,457,857.75 and 202,450,981,773 is: 410,535,398,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,836,457,857.75 : 202,450,981,773 = 202,450,981,773 : x
  2. Step 2: Convert to fraction form
    99,836,457,857.75/202,450,981,773 = 202,450,981,773/x
  3. Step 3: Cross multiply
    99,836,457,857.75x = 202,450,981,773 × 202,450,981,773
  4. Step 4: Simplify right side
    99,836,457,857.75x = 40,986,400,020,851,574,439,936
  5. Step 5: Solve for x
    x = 40,986,400,020,851,574,439,936/99,836,457,857.75
  6. Step 6: Final answer
    x = 410,535,398,594.07

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