Finding the Third Proportional to 96,685,436,210 and 208,064,157,562
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Solution
The third proportional to 96,685,436,210 and 208,064,157,562 is: 447,747,823,860.03
Step by Step Solution
- Step 1: Write the proportion equation
96,685,436,210 : 208,064,157,562 = 208,064,157,562 : x - Step 2: Convert to fraction form
96,685,436,210/208,064,157,562 = 208,064,157,562/x - Step 3: Cross multiply
96,685,436,210x = 208,064,157,562 × 208,064,157,562 - Step 4: Simplify right side
96,685,436,210x = 43,290,693,661,984,760,528,896 - Step 5: Solve for x
x = 43,290,693,661,984,760,528,896/96,685,436,210 - Step 6: Final answer
x = 447,747,823,860.03
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.