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Finding the Third Proportional to 104,057,728,970 and 165,576,302,875

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Solution

The third proportional to 104,057,728,970 and 165,576,302,875 is: 263,464,447,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,057,728,970 : 165,576,302,875 = 165,576,302,875 : x
  2. Step 2: Convert to fraction form
    104,057,728,970/165,576,302,875 = 165,576,302,875/x
  3. Step 3: Cross multiply
    104,057,728,970x = 165,576,302,875 × 165,576,302,875
  4. Step 4: Simplify right side
    104,057,728,970x = 27,415,512,073,753,732,317,184
  5. Step 5: Solve for x
    x = 27,415,512,073,753,732,317,184/104,057,728,970
  6. Step 6: Final answer
    x = 263,464,447,524.68

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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.