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Finding the Third Proportional to 101,044,664 and 219,082,168

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Solution

The third proportional to 101,044,664 and 219,082,168 is: 475,007,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044,664 : 219,082,168 = 219,082,168 : x
  2. Step 2: Convert to fraction form
    101,044,664/219,082,168 = 219,082,168/x
  3. Step 3: Cross multiply
    101,044,664x = 219,082,168 × 219,082,168
  4. Step 4: Simplify right side
    101,044,664x = 47,996,996,335,580,224
  5. Step 5: Solve for x
    x = 47,996,996,335,580,224/101,044,664
  6. Step 6: Final answer
    x = 475,007,728.62

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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.