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Finding the Third Proportional to 51,509,171 and 109,159,438

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Solution

The third proportional to 51,509,171 and 109,159,438 is: 231,333,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509,171 : 109,159,438 = 109,159,438 : x
  2. Step 2: Convert to fraction form
    51,509,171/109,159,438 = 109,159,438/x
  3. Step 3: Cross multiply
    51,509,171x = 109,159,438 × 109,159,438
  4. Step 4: Simplify right side
    51,509,171x = 11,915,782,904,475,844
  5. Step 5: Solve for x
    x = 11,915,782,904,475,844/51,509,171
  6. Step 6: Final answer
    x = 231,333,230.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.