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Finding the Third Proportional to 94,532,218 and 205,198,016

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Solution

The third proportional to 94,532,218 and 205,198,016 is: 445,416,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532,218 : 205,198,016 = 205,198,016 : x
  2. Step 2: Convert to fraction form
    94,532,218/205,198,016 = 205,198,016/x
  3. Step 3: Cross multiply
    94,532,218x = 205,198,016 × 205,198,016
  4. Step 4: Simplify right side
    94,532,218x = 42,106,225,770,336,256
  5. Step 5: Solve for x
    x = 42,106,225,770,336,256/94,532,218
  6. Step 6: Final answer
    x = 445,416,670.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.