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Finding the Third Proportional to 84,347,810 and 184,162,244

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Solution

The third proportional to 84,347,810 and 184,162,244 is: 402,093,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,347,810 : 184,162,244 = 184,162,244 : x
  2. Step 2: Convert to fraction form
    84,347,810/184,162,244 = 184,162,244/x
  3. Step 3: Cross multiply
    84,347,810x = 184,162,244 × 184,162,244
  4. Step 4: Simplify right side
    84,347,810x = 33,915,732,115,115,536
  5. Step 5: Solve for x
    x = 33,915,732,115,115,536/84,347,810
  6. Step 6: Final answer
    x = 402,093,807.95

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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.