Finding the Third Proportional to 88,729,407,796 and 209,248,578,016
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Solution
The third proportional to 88,729,407,796 and 209,248,578,016 is: 493,466,241,794.21
Step by Step Solution
- Step 1: Write the proportion equation
88,729,407,796 : 209,248,578,016 = 209,248,578,016 : x - Step 2: Convert to fraction form
88,729,407,796/209,248,578,016 = 209,248,578,016/x - Step 3: Cross multiply
88,729,407,796x = 209,248,578,016 × 209,248,578,016 - Step 4: Simplify right side
88,729,407,796x = 43,784,967,401,718,039,969,792 - Step 5: Solve for x
x = 43,784,967,401,718,039,969,792/88,729,407,796 - Step 6: Final answer
x = 493,466,241,794.21
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.