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Finding the Third Proportional to 101,107,509 and 217,789,190

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Solution

The third proportional to 101,107,509 and 217,789,190 is: 469,125,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107,509 : 217,789,190 = 217,789,190 : x
  2. Step 2: Convert to fraction form
    101,107,509/217,789,190 = 217,789,190/x
  3. Step 3: Cross multiply
    101,107,509x = 217,789,190 × 217,789,190
  4. Step 4: Simplify right side
    101,107,509x = 47,432,131,280,856,096
  5. Step 5: Solve for x
    x = 47,432,131,280,856,096/101,107,509
  6. Step 6: Final answer
    x = 469,125,703.42

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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.