Finding the Third Proportional to 83,497.50 and 175,197.09
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Solution
The third proportional to 83,497.50 and 175,197.09 is: 367,604.08
Step by Step Solution
- Step 1: Write the proportion equation
83,497.50 : 175,197.09 = 175,197.09 : x - Step 2: Convert to fraction form
83,497.50/175,197.09 = 175,197.09/x - Step 3: Cross multiply
83,497.50x = 175,197.09 × 175,197.09 - Step 4: Simplify right side
83,497.50x = 30,694,021,658.45 - Step 5: Solve for x
x = 30,694,021,658.45/83,497.50 - Step 6: Final answer
x = 367,604.08
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.