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Finding the Third Proportional to 193,524,511,518 and 269,080,364,460

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Solution

The third proportional to 193,524,511,518 and 269,080,364,460 is: 374,134,738,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,511,518 : 269,080,364,460 = 269,080,364,460 : x
  2. Step 2: Convert to fraction form
    193,524,511,518/269,080,364,460 = 269,080,364,460/x
  3. Step 3: Cross multiply
    193,524,511,518x = 269,080,364,460 × 269,080,364,460
  4. Step 4: Simplify right side
    193,524,511,518x = 72,404,242,537,926,434,488,320
  5. Step 5: Solve for x
    x = 72,404,242,537,926,434,488,320/193,524,511,518
  6. Step 6: Final answer
    x = 374,134,738,643.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.