Finding the Third Proportional to 105,412,630,912 and 160,588,851,632
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Solution
The third proportional to 105,412,630,912 and 160,588,851,632 is: 244,646,007,270.36
Step by Step Solution
- Step 1: Write the proportion equation
105,412,630,912 : 160,588,851,632 = 160,588,851,632 : x - Step 2: Convert to fraction form
105,412,630,912/160,588,851,632 = 160,588,851,632/x - Step 3: Cross multiply
105,412,630,912x = 160,588,851,632 × 160,588,851,632 - Step 4: Simplify right side
105,412,630,912x = 25,788,779,268,484,508,942,336 - Step 5: Solve for x
x = 25,788,779,268,484,508,942,336/105,412,630,912 - Step 6: Final answer
x = 244,646,007,270.36
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.