Finding the Third Proportional to 248,392,343,159 and 540,305,595,214
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Solution
The third proportional to 248,392,343,159 and 540,305,595,214 is: 1,175,278,321,814.80
Step by Step Solution
- Step 1: Write the proportion equation
248,392,343,159 : 540,305,595,214 = 540,305,595,214 : x - Step 2: Convert to fraction form
248,392,343,159/540,305,595,214 = 540,305,595,214/x - Step 3: Cross multiply
248,392,343,159x = 540,305,595,214 × 540,305,595,214 - Step 4: Simplify right side
248,392,343,159x = 291,930,136,219,554,825,633,792 - Step 5: Solve for x
x = 291,930,136,219,554,825,633,792/248,392,343,159 - Step 6: Final answer
x = 1,175,278,321,814.80
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.