Finding the Third Proportional to 201,309,519,184 and 312,571,405,896
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Solution
The third proportional to 201,309,519,184 and 312,571,405,896 is: 485,326,695,825.56
Step by Step Solution
- Step 1: Write the proportion equation
201,309,519,184 : 312,571,405,896 = 312,571,405,896 : x - Step 2: Convert to fraction form
201,309,519,184/312,571,405,896 = 312,571,405,896/x - Step 3: Cross multiply
201,309,519,184x = 312,571,405,896 × 312,571,405,896 - Step 4: Simplify right side
201,309,519,184x = 97,700,883,783,801,991,331,840 - Step 5: Solve for x
x = 97,700,883,783,801,991,331,840/201,309,519,184 - Step 6: Final answer
x = 485,326,695,825.56
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.