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Finding the Third Proportional to 101,107,513 and 217,789,198

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Solution

The third proportional to 101,107,513 and 217,789,198 is: 469,125,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107,513 : 217,789,198 = 217,789,198 : x
  2. Step 2: Convert to fraction form
    101,107,513/217,789,198 = 217,789,198/x
  3. Step 3: Cross multiply
    101,107,513x = 217,789,198 × 217,789,198
  4. Step 4: Simplify right side
    101,107,513x = 47,432,134,765,483,200
  5. Step 5: Solve for x
    x = 47,432,134,765,483,200/101,107,513
  6. Step 6: Final answer
    x = 469,125,719.33

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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.