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Finding the Third Proportional to 107,449,633,902 and 229,993,387,947

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Solution

The third proportional to 107,449,633,902 and 229,993,387,947 is: 492,295,381,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449,633,902 : 229,993,387,947 = 229,993,387,947 : x
  2. Step 2: Convert to fraction form
    107,449,633,902/229,993,387,947 = 229,993,387,947/x
  3. Step 3: Cross multiply
    107,449,633,902x = 229,993,387,947 × 229,993,387,947
  4. Step 4: Simplify right side
    107,449,633,902x = 52,896,958,499,339,242,569,728
  5. Step 5: Solve for x
    x = 52,896,958,499,339,242,569,728/107,449,633,902
  6. Step 6: Final answer
    x = 492,295,381,365.23

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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.