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Finding the Third Proportional to 101,936,354 and 220,101,252

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Solution

The third proportional to 101,936,354 and 220,101,252 is: 475,243,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,936,354 : 220,101,252 = 220,101,252 : x
  2. Step 2: Convert to fraction form
    101,936,354/220,101,252 = 220,101,252/x
  3. Step 3: Cross multiply
    101,936,354x = 220,101,252 × 220,101,252
  4. Step 4: Simplify right side
    101,936,354x = 48,444,561,131,967,504
  5. Step 5: Solve for x
    x = 48,444,561,131,967,504/101,936,354
  6. Step 6: Final answer
    x = 475,243,220.22

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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.