Finding the Third Proportional to 89,824 and 189,368
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Solution
The third proportional to 89,824 and 189,368 is: 399,227.82
Step by Step Solution
- Step 1: Write the proportion equation
89,824 : 189,368 = 189,368 : x - Step 2: Convert to fraction form
89,824/189,368 = 189,368/x - Step 3: Cross multiply
89,824x = 189,368 × 189,368 - Step 4: Simplify right side
89,824x = 35,860,239,424 - Step 5: Solve for x
x = 35,860,239,424/89,824 - Step 6: Final answer
x = 399,227.82
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.