Finding the Third Proportional to 97,793.81 and 214,253.06
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Solution
The third proportional to 97,793.81 and 214,253.06 is: 469,399.58
Step by Step Solution
- Step 1: Write the proportion equation
97,793.81 : 214,253.06 = 214,253.06 : x - Step 2: Convert to fraction form
97,793.81/214,253.06 = 214,253.06/x - Step 3: Cross multiply
97,793.81x = 214,253.06 × 214,253.06 - Step 4: Simplify right side
97,793.81x = 45,904,374,790.63 - Step 5: Solve for x
x = 45,904,374,790.63/97,793.81 - Step 6: Final answer
x = 469,399.58
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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.