Finding the Third Proportional to 97,459.50 and 213,531.75
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Solution
The third proportional to 97,459.50 and 213,531.75 is: 467,843.65
Step by Step Solution
- Step 1: Write the proportion equation
97,459.50 : 213,531.75 = 213,531.75 : x - Step 2: Convert to fraction form
97,459.50/213,531.75 = 213,531.75/x - Step 3: Cross multiply
97,459.50x = 213,531.75 × 213,531.75 - Step 4: Simplify right side
97,459.50x = 45,595,808,258.06 - Step 5: Solve for x
x = 45,595,808,258.06/97,459.50 - Step 6: Final answer
x = 467,843.65
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.