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Finding the Third Proportional to 155,925,886,344 and 231,057,198,860

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Solution

The third proportional to 155,925,886,344 and 231,057,198,860 is: 342,389,775,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,925,886,344 : 231,057,198,860 = 231,057,198,860 : x
  2. Step 2: Convert to fraction form
    155,925,886,344/231,057,198,860 = 231,057,198,860/x
  3. Step 3: Cross multiply
    155,925,886,344x = 231,057,198,860 × 231,057,198,860
  4. Step 4: Simplify right side
    155,925,886,344x = 53,387,429,145,029,587,763,200
  5. Step 5: Solve for x
    x = 53,387,429,145,029,587,763,200/155,925,886,344
  6. Step 6: Final answer
    x = 342,389,775,019.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.