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Finding the Third Proportional to 48,080,178 and 113,383,800

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Solution

The third proportional to 48,080,178 and 113,383,800 is: 267,384,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080,178 : 113,383,800 = 113,383,800 : x
  2. Step 2: Convert to fraction form
    48,080,178/113,383,800 = 113,383,800/x
  3. Step 3: Cross multiply
    48,080,178x = 113,383,800 × 113,383,800
  4. Step 4: Simplify right side
    48,080,178x = 12,855,886,102,440,000
  5. Step 5: Solve for x
    x = 12,855,886,102,440,000/48,080,178
  6. Step 6: Final answer
    x = 267,384,328.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.