Finding the Third Proportional to 97,475 and 209,454
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Solution
The third proportional to 97,475 and 209,454 is: 450,074.15
Step by Step Solution
- Step 1: Write the proportion equation
97,475 : 209,454 = 209,454 : x - Step 2: Convert to fraction form
97,475/209,454 = 209,454/x - Step 3: Cross multiply
97,475x = 209,454 × 209,454 - Step 4: Simplify right side
97,475x = 43,870,978,116 - Step 5: Solve for x
x = 43,870,978,116/97,475 - Step 6: Final answer
x = 450,074.15
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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.