Finding the Third Proportional to 201,357,734,751 and 436,230,297,837
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Solution
The third proportional to 201,357,734,751 and 436,230,297,837 is: 945,068,601,344.17
Step by Step Solution
- Step 1: Write the proportion equation
201,357,734,751 : 436,230,297,837 = 436,230,297,837 : x - Step 2: Convert to fraction form
201,357,734,751/436,230,297,837 = 436,230,297,837/x - Step 3: Cross multiply
201,357,734,751x = 436,230,297,837 × 436,230,297,837 - Step 4: Simplify right side
201,357,734,751x = 190,296,872,750,957,742,522,368 - Step 5: Solve for x
x = 190,296,872,750,957,742,522,368/201,357,734,751 - Step 6: Final answer
x = 945,068,601,344.17
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.