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Finding the Third Proportional to 109,690,376,720 and 222,464,997,194

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Solution

The third proportional to 109,690,376,720 and 222,464,997,194 is: 451,185,203,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690,376,720 : 222,464,997,194 = 222,464,997,194 : x
  2. Step 2: Convert to fraction form
    109,690,376,720/222,464,997,194 = 222,464,997,194/x
  3. Step 3: Cross multiply
    109,690,376,720x = 222,464,997,194 × 222,464,997,194
  4. Step 4: Simplify right side
    109,690,376,720x = 49,490,674,976,526,428,012,544
  5. Step 5: Solve for x
    x = 49,490,674,976,526,428,012,544/109,690,376,720
  6. Step 6: Final answer
    x = 451,185,203,811.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.