Finding the Third Proportional to 199,070,512 and 284,671,176
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Solution
The third proportional to 199,070,512 and 284,671,176 is: 407,080,273.37
Step by Step Solution
- Step 1: Write the proportion equation
199,070,512 : 284,671,176 = 284,671,176 : x - Step 2: Convert to fraction form
199,070,512/284,671,176 = 284,671,176/x - Step 3: Cross multiply
199,070,512x = 284,671,176 × 284,671,176 - Step 4: Simplify right side
199,070,512x = 81,037,678,445,222,976 - Step 5: Solve for x
x = 81,037,678,445,222,976/199,070,512 - Step 6: Final answer
x = 407,080,273.37
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.