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Finding the Third Proportional to 51,173,464.50 and 120,803,190.75

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Solution

The third proportional to 51,173,464.50 and 120,803,190.75 is: 285,175,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,464.50 : 120,803,190.75 = 120,803,190.75 : x
  2. Step 2: Convert to fraction form
    51,173,464.50/120,803,190.75 = 120,803,190.75/x
  3. Step 3: Cross multiply
    51,173,464.50x = 120,803,190.75 × 120,803,190.75
  4. Step 4: Simplify right side
    51,173,464.50x = 14,593,410,895,380,886
  5. Step 5: Solve for x
    x = 14,593,410,895,380,886/51,173,464.50
  6. Step 6: Final answer
    x = 285,175,354.80

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