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Finding the Third Proportional to 101,107,511 and 217,789,194

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Solution

The third proportional to 101,107,511 and 217,789,194 is: 469,125,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107,511 : 217,789,194 = 217,789,194 : x
  2. Step 2: Convert to fraction form
    101,107,511/217,789,194 = 217,789,194/x
  3. Step 3: Cross multiply
    101,107,511x = 217,789,194 × 217,789,194
  4. Step 4: Simplify right side
    101,107,511x = 47,432,133,023,169,632
  5. Step 5: Solve for x
    x = 47,432,133,023,169,632/101,107,511
  6. Step 6: Final answer
    x = 469,125,711.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.