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Finding the Third Proportional to 104,505,930 and 221,470,902

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Solution

The third proportional to 104,505,930 and 221,470,902 is: 469,345,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,505,930 : 221,470,902 = 221,470,902 : x
  2. Step 2: Convert to fraction form
    104,505,930/221,470,902 = 221,470,902/x
  3. Step 3: Cross multiply
    104,505,930x = 221,470,902 × 221,470,902
  4. Step 4: Simplify right side
    104,505,930x = 49,049,360,432,693,600
  5. Step 5: Solve for x
    x = 49,049,360,432,693,600/104,505,930
  6. Step 6: Final answer
    x = 469,345,236.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.