Finding the Third Proportional to 101,819,915,946 and 206,543,100,636
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Solution
The third proportional to 101,819,915,946 and 206,543,100,636 is: 418,975,521,870.96
Step by Step Solution
- Step 1: Write the proportion equation
101,819,915,946 : 206,543,100,636 = 206,543,100,636 : x - Step 2: Convert to fraction form
101,819,915,946/206,543,100,636 = 206,543,100,636/x - Step 3: Cross multiply
101,819,915,946x = 206,543,100,636 × 206,543,100,636 - Step 4: Simplify right side
101,819,915,946x = 42,660,052,420,332,823,248,896 - Step 5: Solve for x
x = 42,660,052,420,332,823,248,896/101,819,915,946 - Step 6: Final answer
x = 418,975,521,870.96
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.