Finding the Third Proportional to 202,162,916 and 295,662,774
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Solution
The third proportional to 202,162,916 and 295,662,774 is: 432,406,089.40
Step by Step Solution
- Step 1: Write the proportion equation
202,162,916 : 295,662,774 = 295,662,774 : x - Step 2: Convert to fraction form
202,162,916/295,662,774 = 295,662,774/x - Step 3: Cross multiply
202,162,916x = 295,662,774 × 295,662,774 - Step 4: Simplify right side
202,162,916x = 87,416,475,929,375,072 - Step 5: Solve for x
x = 87,416,475,929,375,072/202,162,916 - Step 6: Final answer
x = 432,406,089.40
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.