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Finding the Third Proportional to 179,669,598,972 and 279,093,040,395

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Solution

The third proportional to 179,669,598,972 and 279,093,040,395 is: 433,534,251,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,669,598,972 : 279,093,040,395 = 279,093,040,395 : x
  2. Step 2: Convert to fraction form
    179,669,598,972/279,093,040,395 = 279,093,040,395/x
  3. Step 3: Cross multiply
    179,669,598,972x = 279,093,040,395 × 279,093,040,395
  4. Step 4: Simplify right side
    179,669,598,972x = 77,892,925,196,925,109,534,720
  5. Step 5: Solve for x
    x = 77,892,925,196,925,109,534,720/179,669,598,972
  6. Step 6: Final answer
    x = 433,534,251,996.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.