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Finding the Third Proportional to 201,397,954 and 310,993,668

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Solution

The third proportional to 201,397,954 and 310,993,668 is: 480,228,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,954 : 310,993,668 = 310,993,668 : x
  2. Step 2: Convert to fraction form
    201,397,954/310,993,668 = 310,993,668/x
  3. Step 3: Cross multiply
    201,397,954x = 310,993,668 × 310,993,668
  4. Step 4: Simplify right side
    201,397,954x = 96,717,061,536,094,224
  5. Step 5: Solve for x
    x = 96,717,061,536,094,224/201,397,954
  6. Step 6: Final answer
    x = 480,228,620.08

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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.