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Finding the Third Proportional to 49,560,288 and 106,294,896

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Solution

The third proportional to 49,560,288 and 106,294,896 is: 227,976,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,560,288 : 106,294,896 = 106,294,896 : x
  2. Step 2: Convert to fraction form
    49,560,288/106,294,896 = 106,294,896/x
  3. Step 3: Cross multiply
    49,560,288x = 106,294,896 × 106,294,896
  4. Step 4: Simplify right side
    49,560,288x = 11,298,604,915,650,816
  5. Step 5: Solve for x
    x = 11,298,604,915,650,816/49,560,288
  6. Step 6: Final answer
    x = 227,976,982.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.