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Finding the Third Proportional to 101,044,656 and 219,082,152

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Solution

The third proportional to 101,044,656 and 219,082,152 is: 475,007,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044,656 : 219,082,152 = 219,082,152 : x
  2. Step 2: Convert to fraction form
    101,044,656/219,082,152 = 219,082,152/x
  3. Step 3: Cross multiply
    101,044,656x = 219,082,152 × 219,082,152
  4. Step 4: Simplify right side
    101,044,656x = 47,996,989,324,951,104
  5. Step 5: Solve for x
    x = 47,996,989,324,951,104/101,044,656
  6. Step 6: Final answer
    x = 475,007,696.84

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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.