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Finding the Third Proportional to 49,141,962 and 106,926,954

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Solution

The third proportional to 49,141,962 and 106,926,954 is: 232,660,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,141,962 : 106,926,954 = 106,926,954 : x
  2. Step 2: Convert to fraction form
    49,141,962/106,926,954 = 106,926,954/x
  3. Step 3: Cross multiply
    49,141,962x = 106,926,954 × 106,926,954
  4. Step 4: Simplify right side
    49,141,962x = 11,433,373,491,718,116
  5. Step 5: Solve for x
    x = 11,433,373,491,718,116/49,141,962
  6. Step 6: Final answer
    x = 232,660,093.87

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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.