Finding the Third Proportional to 140,550,174,538 and 214,118,468,824
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Solution
The third proportional to 140,550,174,538 and 214,118,468,824 is: 326,194,676,329.90
Step by Step Solution
- Step 1: Write the proportion equation
140,550,174,538 : 214,118,468,824 = 214,118,468,824 : x - Step 2: Convert to fraction form
140,550,174,538/214,118,468,824 = 214,118,468,824/x - Step 3: Cross multiply
140,550,174,538x = 214,118,468,824 × 214,118,468,824 - Step 4: Simplify right side
140,550,174,538x = 45,846,718,691,534,255,947,776 - Step 5: Solve for x
x = 45,846,718,691,534,255,947,776/140,550,174,538 - Step 6: Final answer
x = 326,194,676,329.90
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.