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Finding the Third Proportional to 227,600,396 and 325,236,112

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Solution

The third proportional to 227,600,396 and 325,236,112 is: 464,755,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,600,396 : 325,236,112 = 325,236,112 : x
  2. Step 2: Convert to fraction form
    227,600,396/325,236,112 = 325,236,112/x
  3. Step 3: Cross multiply
    227,600,396x = 325,236,112 × 325,236,112
  4. Step 4: Simplify right side
    227,600,396x = 105,778,528,548,876,544
  5. Step 5: Solve for x
    x = 105,778,528,548,876,544/227,600,396
  6. Step 6: Final answer
    x = 464,755,467.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.