Finding the Third Proportional to 97,438 and 209,916
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Solution
The third proportional to 97,438 and 209,916 is: 452,233.49
Step by Step Solution
- Step 1: Write the proportion equation
97,438 : 209,916 = 209,916 : x - Step 2: Convert to fraction form
97,438/209,916 = 209,916/x - Step 3: Cross multiply
97,438x = 209,916 × 209,916 - Step 4: Simplify right side
97,438x = 44,064,727,056 - Step 5: Solve for x
x = 44,064,727,056/97,438 - Step 6: Final answer
x = 452,233.49
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.