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Finding the Third Proportional to 232,828,902 and 388,024,785

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Solution

The third proportional to 232,828,902 and 388,024,785 is: 646,669,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,828,902 : 388,024,785 = 388,024,785 : x
  2. Step 2: Convert to fraction form
    232,828,902/388,024,785 = 388,024,785/x
  3. Step 3: Cross multiply
    232,828,902x = 388,024,785 × 388,024,785
  4. Step 4: Simplify right side
    232,828,902x = 150,563,233,774,296,224
  5. Step 5: Solve for x
    x = 150,563,233,774,296,224/232,828,902
  6. Step 6: Final answer
    x = 646,669,002.35

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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.