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Finding the Third Proportional to 194,434,893 and 284,270,605

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Solution

The third proportional to 194,434,893 and 284,270,605 is: 415,613,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434,893 : 284,270,605 = 284,270,605 : x
  2. Step 2: Convert to fraction form
    194,434,893/284,270,605 = 284,270,605/x
  3. Step 3: Cross multiply
    194,434,893x = 284,270,605 × 284,270,605
  4. Step 4: Simplify right side
    194,434,893x = 80,809,776,867,066,032
  5. Step 5: Solve for x
    x = 80,809,776,867,066,032/194,434,893
  6. Step 6: Final answer
    x = 415,613,553.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.