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Finding the Third Proportional to 308,620,338 and 470,165,790

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Solution

The third proportional to 308,620,338 and 470,165,790 is: 716,271,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,620,338 : 470,165,790 = 470,165,790 : x
  2. Step 2: Convert to fraction form
    308,620,338/470,165,790 = 470,165,790/x
  3. Step 3: Cross multiply
    308,620,338x = 470,165,790 × 470,165,790
  4. Step 4: Simplify right side
    308,620,338x = 221,055,870,086,324,096
  5. Step 5: Solve for x
    x = 221,055,870,086,324,096/308,620,338
  6. Step 6: Final answer
    x = 716,271,233.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.