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Finding the Third Proportional to 105,820,192 and 226,756,832

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Solution

The third proportional to 105,820,192 and 226,756,832 is: 485,905,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,820,192 : 226,756,832 = 226,756,832 : x
  2. Step 2: Convert to fraction form
    105,820,192/226,756,832 = 226,756,832/x
  3. Step 3: Cross multiply
    105,820,192x = 226,756,832 × 226,756,832
  4. Step 4: Simplify right side
    105,820,192x = 51,418,660,858,676,224
  5. Step 5: Solve for x
    x = 51,418,660,858,676,224/105,820,192
  6. Step 6: Final answer
    x = 485,905,949.39

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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.