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Finding the Third Proportional to 49,936,983 and 109,420,221

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Solution

The third proportional to 49,936,983 and 109,420,221 is: 239,757,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,936,983 : 109,420,221 = 109,420,221 : x
  2. Step 2: Convert to fraction form
    49,936,983/109,420,221 = 109,420,221/x
  3. Step 3: Cross multiply
    49,936,983x = 109,420,221 × 109,420,221
  4. Step 4: Simplify right side
    49,936,983x = 11,972,784,763,688,840
  5. Step 5: Solve for x
    x = 11,972,784,763,688,840/49,936,983
  6. Step 6: Final answer
    x = 239,757,871.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.