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Finding the Third Proportional to 102,007,785 and 220,135,704

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Solution

The third proportional to 102,007,785 and 220,135,704 is: 475,059,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007,785 : 220,135,704 = 220,135,704 : x
  2. Step 2: Convert to fraction form
    102,007,785/220,135,704 = 220,135,704/x
  3. Step 3: Cross multiply
    102,007,785x = 220,135,704 × 220,135,704
  4. Step 4: Simplify right side
    102,007,785x = 48,459,728,175,575,616
  5. Step 5: Solve for x
    x = 48,459,728,175,575,616/102,007,785
  6. Step 6: Final answer
    x = 475,059,116.08

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Why These Related Problems?

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