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Finding the Third Proportional to 201,397,876 and 310,993,536

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Solution

The third proportional to 201,397,876 and 310,993,536 is: 480,228,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,876 : 310,993,536 = 310,993,536 : x
  2. Step 2: Convert to fraction form
    201,397,876/310,993,536 = 310,993,536/x
  3. Step 3: Cross multiply
    201,397,876x = 310,993,536 × 310,993,536
  4. Step 4: Simplify right side
    201,397,876x = 96,716,979,433,783,296
  5. Step 5: Solve for x
    x = 96,716,979,433,783,296/201,397,876
  6. Step 6: Final answer
    x = 480,228,398.41

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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.