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Finding the Third Proportional to 49,696,027.88 and 106,769,491.88

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Solution

The third proportional to 49,696,027.88 and 106,769,491.88 is: 229,389,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696,027.88 : 106,769,491.88 = 106,769,491.88 : x
  2. Step 2: Convert to fraction form
    49,696,027.88/106,769,491.88 = 106,769,491.88/x
  3. Step 3: Cross multiply
    49,696,027.88x = 106,769,491.88 × 106,769,491.88
  4. Step 4: Simplify right side
    49,696,027.88x = 11,399,724,395,245,692
  5. Step 5: Solve for x
    x = 11,399,724,395,245,692/49,696,027.88
  6. Step 6: Final answer
    x = 229,389,045.42

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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.