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Finding the Third Proportional to 104,057,728,969.50 and 165,576,302,874

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Solution

The third proportional to 104,057,728,969.50 and 165,576,302,874 is: 263,464,447,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,057,728,969.50 : 165,576,302,874 = 165,576,302,874 : x
  2. Step 2: Convert to fraction form
    104,057,728,969.50/165,576,302,874 = 165,576,302,874/x
  3. Step 3: Cross multiply
    104,057,728,969.50x = 165,576,302,874 × 165,576,302,874
  4. Step 4: Simplify right side
    104,057,728,969.50x = 27,415,512,073,422,579,433,472
  5. Step 5: Solve for x
    x = 27,415,512,073,422,579,433,472/104,057,728,969.50
  6. Step 6: Final answer
    x = 263,464,447,522.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.