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Finding the Third Proportional to 109,690,376,716 and 222,464,997,186

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Solution

The third proportional to 109,690,376,716 and 222,464,997,186 is: 451,185,203,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690,376,716 : 222,464,997,186 = 222,464,997,186 : x
  2. Step 2: Convert to fraction form
    109,690,376,716/222,464,997,186 = 222,464,997,186/x
  3. Step 3: Cross multiply
    109,690,376,716x = 222,464,997,186 × 222,464,997,186
  4. Step 4: Simplify right side
    109,690,376,716x = 49,490,674,972,966,990,643,200
  5. Step 5: Solve for x
    x = 49,490,674,972,966,990,643,200/109,690,376,716
  6. Step 6: Final answer
    x = 451,185,203,795.08

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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.