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
- Step 1: Write the proportion equation
107,449,633,902 : 229,993,387,947 = 229,993,387,947 : x - Step 2: Convert to fraction form
107,449,633,902/229,993,387,947 = 229,993,387,947/x - Step 3: Cross multiply
107,449,633,902x = 229,993,387,947 × 229,993,387,947 - Step 4: Simplify right side
107,449,633,902x = 52,896,958,499,339,242,569,728 - Step 5: Solve for x
x = 52,896,958,499,339,242,569,728/107,449,633,902 - Step 6: Final answer
x = 492,295,381,365.23
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.