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Finding the Third Proportional to 201,397,743 and 310,993,350

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Solution

The third proportional to 201,397,743 and 310,993,350 is: 480,228,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,743 : 310,993,350 = 310,993,350 : x
  2. Step 2: Convert to fraction form
    201,397,743/310,993,350 = 310,993,350/x
  3. Step 3: Cross multiply
    201,397,743x = 310,993,350 × 310,993,350
  4. Step 4: Simplify right side
    201,397,743x = 96,716,863,744,222,496
  5. Step 5: Solve for x
    x = 96,716,863,744,222,496/201,397,743
  6. Step 6: Final answer
    x = 480,228,141.11

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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.