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Finding the Third Proportional to 49,499,198 and 106,581,268

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Solution

The third proportional to 49,499,198 and 106,581,268 is: 229,489,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,499,198 : 106,581,268 = 106,581,268 : x
  2. Step 2: Convert to fraction form
    49,499,198/106,581,268 = 106,581,268/x
  3. Step 3: Cross multiply
    49,499,198x = 106,581,268 × 106,581,268
  4. Step 4: Simplify right side
    49,499,198x = 11,359,566,688,487,824
  5. Step 5: Solve for x
    x = 11,359,566,688,487,824/49,499,198
  6. Step 6: Final answer
    x = 229,489,913.93

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