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Finding the Third Proportional to 101,024,694 and 217,818,288

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Solution

The third proportional to 101,024,694 and 217,818,288 is: 469,635,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024,694 : 217,818,288 = 217,818,288 : x
  2. Step 2: Convert to fraction form
    101,024,694/217,818,288 = 217,818,288/x
  3. Step 3: Cross multiply
    101,024,694x = 217,818,288 × 217,818,288
  4. Step 4: Simplify right side
    101,024,694x = 47,444,806,587,250,944
  5. Step 5: Solve for x
    x = 47,444,806,587,250,944/101,024,694
  6. Step 6: Final answer
    x = 469,635,736.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.