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Finding the Third Proportional to 104,120,568,627 and 146,624,704,575

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Solution

The third proportional to 104,120,568,627 and 146,624,704,575 is: 206,479,894,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,120,568,627 : 146,624,704,575 = 146,624,704,575 : x
  2. Step 2: Convert to fraction form
    104,120,568,627/146,624,704,575 = 146,624,704,575/x
  3. Step 3: Cross multiply
    104,120,568,627x = 146,624,704,575 × 146,624,704,575
  4. Step 4: Simplify right side
    104,120,568,627x = 21,498,803,991,706,026,901,504
  5. Step 5: Solve for x
    x = 21,498,803,991,706,026,901,504/104,120,568,627
  6. Step 6: Final answer
    x = 206,479,894,176.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.