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Finding the Third Proportional to 201,398,003 and 310,993,743

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Solution

The third proportional to 201,398,003 and 310,993,743 is: 480,228,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398,003 : 310,993,743 = 310,993,743 : x
  2. Step 2: Convert to fraction form
    201,398,003/310,993,743 = 310,993,743/x
  3. Step 3: Cross multiply
    201,398,003x = 310,993,743 × 310,993,743
  4. Step 4: Simplify right side
    201,398,003x = 96,717,108,185,150,048
  5. Step 5: Solve for x
    x = 96,717,108,185,150,048/201,398,003
  6. Step 6: Final answer
    x = 480,228,734.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.