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Finding the Third Proportional to 201,397,568 and 310,993,089

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Solution

The third proportional to 201,397,568 and 310,993,089 is: 480,227,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,568 : 310,993,089 = 310,993,089 : x
  2. Step 2: Convert to fraction form
    201,397,568/310,993,089 = 310,993,089/x
  3. Step 3: Cross multiply
    201,397,568x = 310,993,089 × 310,993,089
  4. Step 4: Simplify right side
    201,397,568x = 96,716,701,405,761,920
  5. Step 5: Solve for x
    x = 96,716,701,405,761,920/201,397,568
  6. Step 6: Final answer
    x = 480,227,752.33

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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.