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Finding the Third Proportional to 109,690,376,718 and 222,464,997,190

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Solution

The third proportional to 109,690,376,718 and 222,464,997,190 is: 451,185,203,803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690,376,718 : 222,464,997,190 = 222,464,997,190 : x
  2. Step 2: Convert to fraction form
    109,690,376,718/222,464,997,190 = 222,464,997,190/x
  3. Step 3: Cross multiply
    109,690,376,718x = 222,464,997,190 × 222,464,997,190
  4. Step 4: Simplify right side
    109,690,376,718x = 49,490,674,974,746,709,327,872
  5. Step 5: Solve for x
    x = 49,490,674,974,746,709,327,872/109,690,376,718
  6. Step 6: Final answer
    x = 451,185,203,803.07

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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.