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Finding the Third Proportional to 102,007,795 and 220,135,723

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Solution

The third proportional to 102,007,795 and 220,135,723 is: 475,059,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,795 : 220,135,723 = 220,135,723 : x
  2. Step 2: Convert to fraction form
    102,007,795/220,135,723 = 220,135,723/x
  3. Step 3: Cross multiply
    102,007,795x = 220,135,723 × 220,135,723
  4. Step 4: Simplify right side
    102,007,795x = 48,459,736,540,732,728
  5. Step 5: Solve for x
    x = 48,459,736,540,732,728/102,007,795
  6. Step 6: Final answer
    x = 475,059,151.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.