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Finding the Third Proportional to 201,397,760 and 310,993,384

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Solution

The third proportional to 201,397,760 and 310,993,384 is: 480,228,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,760 : 310,993,384 = 310,993,384 : x
  2. Step 2: Convert to fraction form
    201,397,760/310,993,384 = 310,993,384/x
  3. Step 3: Cross multiply
    201,397,760x = 310,993,384 × 310,993,384
  4. Step 4: Simplify right side
    201,397,760x = 96,716,884,891,771,456
  5. Step 5: Solve for x
    x = 96,716,884,891,771,456/201,397,760
  6. Step 6: Final answer
    x = 480,228,205.58

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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.