Finding the Third Proportional to 178,198,324 and 283,551,342
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Solution
The third proportional to 178,198,324 and 283,551,342 is: 451,190,346.49
Step by Step Solution
- Step 1: Write the proportion equation
178,198,324 : 283,551,342 = 283,551,342 : x - Step 2: Convert to fraction form
178,198,324/283,551,342 = 283,551,342/x - Step 3: Cross multiply
178,198,324x = 283,551,342 × 283,551,342 - Step 4: Simplify right side
178,198,324x = 80,401,363,550,000,960 - Step 5: Solve for x
x = 80,401,363,550,000,960/178,198,324 - Step 6: Final answer
x = 451,190,346.49
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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.