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Finding the Third Proportional to 201,397,928 and 310,993,629

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Solution

The third proportional to 201,397,928 and 310,993,629 is: 480,228,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,928 : 310,993,629 = 310,993,629 : x
  2. Step 2: Convert to fraction form
    201,397,928/310,993,629 = 310,993,629/x
  3. Step 3: Cross multiply
    201,397,928x = 310,993,629 × 310,993,629
  4. Step 4: Simplify right side
    201,397,928x = 96,717,037,278,589,648
  5. Step 5: Solve for x
    x = 96,717,037,278,589,648/201,397,928
  6. Step 6: Final answer
    x = 480,228,561.63

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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.