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Finding the Third Proportional to 103,650,832 and 226,827,296

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Solution

The third proportional to 103,650,832 and 226,827,296 is: 496,384,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650,832 : 226,827,296 = 226,827,296 : x
  2. Step 2: Convert to fraction form
    103,650,832/226,827,296 = 226,827,296/x
  3. Step 3: Cross multiply
    103,650,832x = 226,827,296 × 226,827,296
  4. Step 4: Simplify right side
    103,650,832x = 51,450,622,210,671,616
  5. Step 5: Solve for x
    x = 51,450,622,210,671,616/103,650,832
  6. Step 6: Final answer
    x = 496,384,073.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.