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Finding the Third Proportional to 95,673,542,870 and 204,993,610,146

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Solution

The third proportional to 95,673,542,870 and 204,993,610,146 is: 439,226,759,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,673,542,870 : 204,993,610,146 = 204,993,610,146 : x
  2. Step 2: Convert to fraction form
    95,673,542,870/204,993,610,146 = 204,993,610,146/x
  3. Step 3: Cross multiply
    95,673,542,870x = 204,993,610,146 × 204,993,610,146
  4. Step 4: Simplify right side
    95,673,542,870x = 42,022,380,200,690,232,328,192
  5. Step 5: Solve for x
    x = 42,022,380,200,690,232,328,192/95,673,542,870
  6. Step 6: Final answer
    x = 439,226,759,458.36

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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.