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Finding the Third Proportional to 201,397,932 and 310,993,636

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Solution

The third proportional to 201,397,932 and 310,993,636 is: 480,228,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,932 : 310,993,636 = 310,993,636 : x
  2. Step 2: Convert to fraction form
    201,397,932/310,993,636 = 310,993,636/x
  3. Step 3: Cross multiply
    201,397,932x = 310,993,636 × 310,993,636
  4. Step 4: Simplify right side
    201,397,932x = 96,717,041,632,500,496
  5. Step 5: Solve for x
    x = 96,717,041,632,500,496/201,397,932
  6. Step 6: Final answer
    x = 480,228,573.71

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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.