Finding the Third Proportional to 45,196 and 97,864
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Solution
The third proportional to 45,196 and 97,864 is: 211,907.30
Step by Step Solution
- Step 1: Write the proportion equation
45,196 : 97,864 = 97,864 : x - Step 2: Convert to fraction form
45,196/97,864 = 97,864/x - Step 3: Cross multiply
45,196x = 97,864 × 97,864 - Step 4: Simplify right side
45,196x = 9,577,362,496 - Step 5: Solve for x
x = 9,577,362,496/45,196 - Step 6: Final answer
x = 211,907.30
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.