Finding the Third Proportional to 97,322.63 and 209,193.75
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Solution
The third proportional to 97,322.63 and 209,193.75 is: 449,659.32
Step by Step Solution
- Step 1: Write the proportion equation
97,322.63 : 209,193.75 = 209,193.75 : x - Step 2: Convert to fraction form
97,322.63/209,193.75 = 209,193.75/x - Step 3: Cross multiply
97,322.63x = 209,193.75 × 209,193.75 - Step 4: Simplify right side
97,322.63x = 43,762,025,039.06 - Step 5: Solve for x
x = 43,762,025,039.06/97,322.63 - Step 6: Final answer
x = 449,659.32
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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.