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Finding the Third Proportional to 179,669,598,970 and 279,093,040,391

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Solution

The third proportional to 179,669,598,970 and 279,093,040,391 is: 433,534,251,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,669,598,970 : 279,093,040,391 = 279,093,040,391 : x
  2. Step 2: Convert to fraction form
    179,669,598,970/279,093,040,391 = 279,093,040,391/x
  3. Step 3: Cross multiply
    179,669,598,970x = 279,093,040,391 × 279,093,040,391
  4. Step 4: Simplify right side
    179,669,598,970x = 77,892,925,194,692,364,075,008
  5. Step 5: Solve for x
    x = 77,892,925,194,692,364,075,008/179,669,598,970
  6. Step 6: Final answer
    x = 433,534,251,989.39

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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.