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Finding the Third Proportional to 101,044,692 and 219,082,224

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Solution

The third proportional to 101,044,692 and 219,082,224 is: 475,007,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044,692 : 219,082,224 = 219,082,224 : x
  2. Step 2: Convert to fraction form
    101,044,692/219,082,224 = 219,082,224/x
  3. Step 3: Cross multiply
    101,044,692x = 219,082,224 × 219,082,224
  4. Step 4: Simplify right side
    101,044,692x = 47,997,020,872,786,176
  5. Step 5: Solve for x
    x = 47,997,020,872,786,176/101,044,692
  6. Step 6: Final answer
    x = 475,007,839.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.