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Finding the Third Proportional to 101,044,662 and 219,082,164

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Solution

The third proportional to 101,044,662 and 219,082,164 is: 475,007,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044,662 : 219,082,164 = 219,082,164 : x
  2. Step 2: Convert to fraction form
    101,044,662/219,082,164 = 219,082,164/x
  3. Step 3: Cross multiply
    101,044,662x = 219,082,164 × 219,082,164
  4. Step 4: Simplify right side
    101,044,662x = 47,996,994,582,922,896
  5. Step 5: Solve for x
    x = 47,996,994,582,922,896/101,044,662
  6. Step 6: Final answer
    x = 475,007,720.67

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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.