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Finding the Third Proportional to 90,783,121.50 and 194,791,374

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Solution

The third proportional to 90,783,121.50 and 194,791,374 is: 417,959,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783,121.50 : 194,791,374 = 194,791,374 : x
  2. Step 2: Convert to fraction form
    90,783,121.50/194,791,374 = 194,791,374/x
  3. Step 3: Cross multiply
    90,783,121.50x = 194,791,374 × 194,791,374
  4. Step 4: Simplify right side
    90,783,121.50x = 37,943,679,384,807,872
  5. Step 5: Solve for x
    x = 37,943,679,384,807,872/90,783,121.50
  6. Step 6: Final answer
    x = 417,959,624.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.