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Finding the Third Proportional to 157,944,057 and 352,183,990

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Solution

The third proportional to 157,944,057 and 352,183,990 is: 785,300,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,944,057 : 352,183,990 = 352,183,990 : x
  2. Step 2: Convert to fraction form
    157,944,057/352,183,990 = 352,183,990/x
  3. Step 3: Cross multiply
    157,944,057x = 352,183,990 × 352,183,990
  4. Step 4: Simplify right side
    157,944,057x = 124,033,562,812,320,096
  5. Step 5: Solve for x
    x = 124,033,562,812,320,096/157,944,057
  6. Step 6: Final answer
    x = 785,300,600.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.