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Finding the Third Proportional to 193,972,059 and 423,498,015

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Solution

The third proportional to 193,972,059 and 423,498,015 is: 924,620,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,972,059 : 423,498,015 = 423,498,015 : x
  2. Step 2: Convert to fraction form
    193,972,059/423,498,015 = 423,498,015/x
  3. Step 3: Cross multiply
    193,972,059x = 423,498,015 × 423,498,015
  4. Step 4: Simplify right side
    193,972,059x = 179,350,568,708,940,224
  5. Step 5: Solve for x
    x = 179,350,568,708,940,224/193,972,059
  6. Step 6: Final answer
    x = 924,620,636.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.