Finding the Third Proportional to 158,245,912,994 and 213,510,891,905
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Solution
The third proportional to 158,245,912,994 and 213,510,891,905 is: 288,076,324,371.15
Step by Step Solution
- Step 1: Write the proportion equation
158,245,912,994 : 213,510,891,905 = 213,510,891,905 : x - Step 2: Convert to fraction form
158,245,912,994/213,510,891,905 = 213,510,891,905/x - Step 3: Cross multiply
158,245,912,994x = 213,510,891,905 × 213,510,891,905 - Step 4: Simplify right side
158,245,912,994x = 45,586,900,962,068,591,017,984 - Step 5: Solve for x
x = 45,586,900,962,068,591,017,984/158,245,912,994 - Step 6: Final answer
x = 288,076,324,371.15
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.