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Finding the Third Proportional to 186,227,997 and 438,991,098

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Solution

The third proportional to 186,227,997 and 438,991,098 is: 1,034,823,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,227,997 : 438,991,098 = 438,991,098 : x
  2. Step 2: Convert to fraction form
    186,227,997/438,991,098 = 438,991,098/x
  3. Step 3: Cross multiply
    186,227,997x = 438,991,098 × 438,991,098
  4. Step 4: Simplify right side
    186,227,997x = 192,713,184,123,245,600
  5. Step 5: Solve for x
    x = 192,713,184,123,245,600/186,227,997
  6. Step 6: Final answer
    x = 1,034,823,910.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.