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Finding the Third Proportional to 101,083,754 and 218,307,244

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Solution

The third proportional to 101,083,754 and 218,307,244 is: 471,470,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,083,754 : 218,307,244 = 218,307,244 : x
  2. Step 2: Convert to fraction form
    101,083,754/218,307,244 = 218,307,244/x
  3. Step 3: Cross multiply
    101,083,754x = 218,307,244 × 218,307,244
  4. Step 4: Simplify right side
    101,083,754x = 47,658,052,782,875,536
  5. Step 5: Solve for x
    x = 47,658,052,782,875,536/101,083,754
  6. Step 6: Final answer
    x = 471,470,942.63

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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.