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Finding the Third Proportional to 193,524,511,519 and 269,080,364,461

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Solution

The third proportional to 193,524,511,519 and 269,080,364,461 is: 374,134,738,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,511,519 : 269,080,364,461 = 269,080,364,461 : x
  2. Step 2: Convert to fraction form
    193,524,511,519/269,080,364,461 = 269,080,364,461/x
  3. Step 3: Cross multiply
    193,524,511,519x = 269,080,364,461 × 269,080,364,461
  4. Step 4: Simplify right side
    193,524,511,519x = 72,404,242,538,464,588,857,344
  5. Step 5: Solve for x
    x = 72,404,242,538,464,588,857,344/193,524,511,519
  6. Step 6: Final answer
    x = 374,134,738,644.50

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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.