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Finding the Third Proportional to 100,675,042 and 155,463,296

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Solution

The third proportional to 100,675,042 and 155,463,296 is: 240,067,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675,042 : 155,463,296 = 155,463,296 : x
  2. Step 2: Convert to fraction form
    100,675,042/155,463,296 = 155,463,296/x
  3. Step 3: Cross multiply
    100,675,042x = 155,463,296 × 155,463,296
  4. Step 4: Simplify right side
    100,675,042x = 24,168,836,403,183,616
  5. Step 5: Solve for x
    x = 24,168,836,403,183,616/100,675,042
  6. Step 6: Final answer
    x = 240,067,805.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.