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Finding the Third Proportional to 222,336,268 and 482,946,934

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Solution

The third proportional to 222,336,268 and 482,946,934 is: 1,049,031,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,336,268 : 482,946,934 = 482,946,934 : x
  2. Step 2: Convert to fraction form
    222,336,268/482,946,934 = 482,946,934/x
  3. Step 3: Cross multiply
    222,336,268x = 482,946,934 × 482,946,934
  4. Step 4: Simplify right side
    222,336,268x = 233,237,741,060,000,352
  5. Step 5: Solve for x
    x = 233,237,741,060,000,352/222,336,268
  6. Step 6: Final answer
    x = 1,049,031,465.53

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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.