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Finding the Third Proportional to 238,676,014.75 and 356,544,186.75

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Solution

The third proportional to 238,676,014.75 and 356,544,186.75 is: 532,620,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,676,014.75 : 356,544,186.75 = 356,544,186.75 : x
  2. Step 2: Convert to fraction form
    238,676,014.75/356,544,186.75 = 356,544,186.75/x
  3. Step 3: Cross multiply
    238,676,014.75x = 356,544,186.75 × 356,544,186.75
  4. Step 4: Simplify right side
    238,676,014.75x = 127,123,757,105,218,880
  5. Step 5: Solve for x
    x = 127,123,757,105,218,880/238,676,014.75
  6. Step 6: Final answer
    x = 532,620,578.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.