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Finding the Third Proportional to 95,673,542,868 and 204,993,610,142

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Solution

The third proportional to 95,673,542,868 and 204,993,610,142 is: 439,226,759,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,673,542,868 : 204,993,610,142 = 204,993,610,142 : x
  2. Step 2: Convert to fraction form
    95,673,542,868/204,993,610,142 = 204,993,610,142/x
  3. Step 3: Cross multiply
    95,673,542,868x = 204,993,610,142 × 204,993,610,142
  4. Step 4: Simplify right side
    95,673,542,868x = 42,022,380,199,050,284,630,016
  5. Step 5: Solve for x
    x = 42,022,380,199,050,284,630,016/95,673,542,868
  6. Step 6: Final answer
    x = 439,226,759,450.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.