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Finding the Third Proportional to 194,197,504 and 415,941,372

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Solution

The third proportional to 194,197,504 and 415,941,372 is: 890,882,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,197,504 : 415,941,372 = 415,941,372 : x
  2. Step 2: Convert to fraction form
    194,197,504/415,941,372 = 415,941,372/x
  3. Step 3: Cross multiply
    194,197,504x = 415,941,372 × 415,941,372
  4. Step 4: Simplify right side
    194,197,504x = 173,007,224,941,242,368
  5. Step 5: Solve for x
    x = 173,007,224,941,242,368/194,197,504
  6. Step 6: Final answer
    x = 890,882,845.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.