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Finding the Third Proportional to 232,828,904 and 388,024,788

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Solution

The third proportional to 232,828,904 and 388,024,788 is: 646,669,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,828,904 : 388,024,788 = 388,024,788 : x
  2. Step 2: Convert to fraction form
    232,828,904/388,024,788 = 388,024,788/x
  3. Step 3: Cross multiply
    232,828,904x = 388,024,788 × 388,024,788
  4. Step 4: Simplify right side
    232,828,904x = 150,563,236,102,444,928
  5. Step 5: Solve for x
    x = 150,563,236,102,444,928/232,828,904
  6. Step 6: Final answer
    x = 646,669,006.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.