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Finding the Third Proportional to 90,769,296 and 136,246,891.50

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Solution

The third proportional to 90,769,296 and 136,246,891.50 is: 204,509,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769,296 : 136,246,891.50 = 136,246,891.50 : x
  2. Step 2: Convert to fraction form
    90,769,296/136,246,891.50 = 136,246,891.50/x
  3. Step 3: Cross multiply
    90,769,296x = 136,246,891.50 × 136,246,891.50
  4. Step 4: Simplify right side
    90,769,296x = 18,563,215,443,412,772
  5. Step 5: Solve for x
    x = 18,563,215,443,412,772/90,769,296
  6. Step 6: Final answer
    x = 204,509,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.