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Finding the Third Proportional to 174,493,647 and 270,191,544.75

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Solution

The third proportional to 174,493,647 and 270,191,544.75 is: 418,373,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,493,647 : 270,191,544.75 = 270,191,544.75 : x
  2. Step 2: Convert to fraction form
    174,493,647/270,191,544.75 = 270,191,544.75/x
  3. Step 3: Cross multiply
    174,493,647x = 270,191,544.75 × 270,191,544.75
  4. Step 4: Simplify right side
    174,493,647x = 73,003,470,854,391,248
  5. Step 5: Solve for x
    x = 73,003,470,854,391,248/174,493,647
  6. Step 6: Final answer
    x = 418,373,230.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.