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Finding the Third Proportional to 127,215,481.50 and 194,523,018.75

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Solution

The third proportional to 127,215,481.50 and 194,523,018.75 is: 297,441,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,215,481.50 : 194,523,018.75 = 194,523,018.75 : x
  2. Step 2: Convert to fraction form
    127,215,481.50/194,523,018.75 = 194,523,018.75/x
  3. Step 3: Cross multiply
    127,215,481.50x = 194,523,018.75 × 194,523,018.75
  4. Step 4: Simplify right side
    127,215,481.50x = 37,839,204,823,612,848
  5. Step 5: Solve for x
    x = 37,839,204,823,612,848/127,215,481.50
  6. Step 6: Final answer
    x = 297,441,823.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.