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Finding the Third Proportional to 159,275,222,325 and 341,269,024,158

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Solution

The third proportional to 159,275,222,325 and 341,269,024,158 is: 731,215,723,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,275,222,325 : 341,269,024,158 = 341,269,024,158 : x
  2. Step 2: Convert to fraction form
    159,275,222,325/341,269,024,158 = 341,269,024,158/x
  3. Step 3: Cross multiply
    159,275,222,325x = 341,269,024,158 × 341,269,024,158
  4. Step 4: Simplify right side
    159,275,222,325x = 116,464,546,849,753,590,136,832
  5. Step 5: Solve for x
    x = 116,464,546,849,753,590,136,832/159,275,222,325
  6. Step 6: Final answer
    x = 731,215,723,008.75

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