Finding the Third Proportional to 178,224,170 and 283,589,700
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Solution
The third proportional to 178,224,170 and 283,589,700 is: 451,246,977.03
Step by Step Solution
- Step 1: Write the proportion equation
178,224,170 : 283,589,700 = 283,589,700 : x - Step 2: Convert to fraction form
178,224,170/283,589,700 = 283,589,700/x - Step 3: Cross multiply
178,224,170x = 283,589,700 × 283,589,700 - Step 4: Simplify right side
178,224,170x = 80,423,117,946,090,000 - Step 5: Solve for x
x = 80,423,117,946,090,000/178,224,170 - Step 6: Final answer
x = 451,246,977.03
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.