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Finding the Third Proportional to 84,719,204 and 184,974,964

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Solution

The third proportional to 84,719,204 and 184,974,964 is: 403,872,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,719,204 : 184,974,964 = 184,974,964 : x
  2. Step 2: Convert to fraction form
    84,719,204/184,974,964 = 184,974,964/x
  3. Step 3: Cross multiply
    84,719,204x = 184,974,964 × 184,974,964
  4. Step 4: Simplify right side
    84,719,204x = 34,215,737,306,801,296
  5. Step 5: Solve for x
    x = 34,215,737,306,801,296/84,719,204
  6. Step 6: Final answer
    x = 403,872,270.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.