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Finding the Third Proportional to 49,236,504 and 106,045,104

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Solution

The third proportional to 49,236,504 and 106,045,104 is: 228,398,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236,504 : 106,045,104 = 106,045,104 : x
  2. Step 2: Convert to fraction form
    49,236,504/106,045,104 = 106,045,104/x
  3. Step 3: Cross multiply
    49,236,504x = 106,045,104 × 106,045,104
  4. Step 4: Simplify right side
    49,236,504x = 11,245,564,082,370,816
  5. Step 5: Solve for x
    x = 11,245,564,082,370,816/49,236,504
  6. Step 6: Final answer
    x = 228,398,914.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.