Finding the Third Proportional to 135,877,229,590.50 and 202,637,532,669.75
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Solution
The third proportional to 135,877,229,590.50 and 202,637,532,669.75 is: 302,199,049,614.38
Step by Step Solution
- Step 1: Write the proportion equation
135,877,229,590.50 : 202,637,532,669.75 = 202,637,532,669.75 : x - Step 2: Convert to fraction form
135,877,229,590.50/202,637,532,669.75 = 202,637,532,669.75/x - Step 3: Cross multiply
135,877,229,590.50x = 202,637,532,669.75 × 202,637,532,669.75 - Step 4: Simplify right side
135,877,229,590.50x = 41,061,969,646,484,000,342,016 - Step 5: Solve for x
x = 41,061,969,646,484,000,342,016/135,877,229,590.50 - Step 6: Final answer
x = 302,199,049,614.38
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.