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Finding the Third Proportional to 193,524,511,446 and 269,080,364,478.38

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Solution

The third proportional to 193,524,511,446 and 269,080,364,478.38 is: 374,134,738,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,511,446 : 269,080,364,478.38 = 269,080,364,478.38 : x
  2. Step 2: Convert to fraction form
    193,524,511,446/269,080,364,478.38 = 269,080,364,478.38/x
  3. Step 3: Cross multiply
    193,524,511,446x = 269,080,364,478.38 × 269,080,364,478.38
  4. Step 4: Simplify right side
    193,524,511,446x = 72,404,242,547,817,828,057,088
  5. Step 5: Solve for x
    x = 72,404,242,547,817,828,057,088/193,524,511,446
  6. Step 6: Final answer
    x = 374,134,738,833.95

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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.