Finding the Third Proportional to 97,760.50 and 214,206.75
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Solution
The third proportional to 97,760.50 and 214,206.75 is: 469,356.56
Step by Step Solution
- Step 1: Write the proportion equation
97,760.50 : 214,206.75 = 214,206.75 : x - Step 2: Convert to fraction form
97,760.50/214,206.75 = 214,206.75/x - Step 3: Cross multiply
97,760.50x = 214,206.75 × 214,206.75 - Step 4: Simplify right side
97,760.50x = 45,884,531,745.56 - Step 5: Solve for x
x = 45,884,531,745.56/97,760.50 - Step 6: Final answer
x = 469,356.56
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.