Finding the Third Proportional to 101,176,832 and 217,698,992
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Solution
The third proportional to 101,176,832 and 217,698,992 is: 468,416,041.31
Step by Step Solution
- Step 1: Write the proportion equation
101,176,832 : 217,698,992 = 217,698,992 : x - Step 2: Convert to fraction form
101,176,832/217,698,992 = 217,698,992/x - Step 3: Cross multiply
101,176,832x = 217,698,992 × 217,698,992 - Step 4: Simplify right side
101,176,832x = 47,392,851,117,816,064 - Step 5: Solve for x
x = 47,392,851,117,816,064/101,176,832 - Step 6: Final answer
x = 468,416,041.31
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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.