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Finding the Third Proportional to 105,285,636 and 227,218,015.13

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Solution

The third proportional to 105,285,636 and 227,218,015.13 is: 490,361,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,285,636 : 227,218,015.13 = 227,218,015.13 : x
  2. Step 2: Convert to fraction form
    105,285,636/227,218,015.13 = 227,218,015.13/x
  3. Step 3: Cross multiply
    105,285,636x = 227,218,015.13 × 227,218,015.13
  4. Step 4: Simplify right side
    105,285,636x = 51,628,026,397,344,728
  5. Step 5: Solve for x
    x = 51,628,026,397,344,728/105,285,636
  6. Step 6: Final answer
    x = 490,361,537.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.