Finding the Third Proportional to 97,494 and 209,496
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Solution
The third proportional to 97,494 and 209,496 is: 450,166.92
Step by Step Solution
- Step 1: Write the proportion equation
97,494 : 209,496 = 209,496 : x - Step 2: Convert to fraction form
97,494/209,496 = 209,496/x - Step 3: Cross multiply
97,494x = 209,496 × 209,496 - Step 4: Simplify right side
97,494x = 43,888,574,016 - Step 5: Solve for x
x = 43,888,574,016/97,494 - Step 6: Final answer
x = 450,166.92
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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.