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Finding the Third Proportional to 196,404,345 and 295,426,512

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Solution

The third proportional to 196,404,345 and 295,426,512 is: 444,373,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,404,345 : 295,426,512 = 295,426,512 : x
  2. Step 2: Convert to fraction form
    196,404,345/295,426,512 = 295,426,512/x
  3. Step 3: Cross multiply
    196,404,345x = 295,426,512 × 295,426,512
  4. Step 4: Simplify right side
    196,404,345x = 87,276,823,992,486,144
  5. Step 5: Solve for x
    x = 87,276,823,992,486,144/196,404,345
  6. Step 6: Final answer
    x = 444,373,183.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.