Finding the Third Proportional to 97,993.97 and 207,762.94
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Solution
The third proportional to 97,993.97 and 207,762.94 is: 440,490.76
Step by Step Solution
- Step 1: Write the proportion equation
97,993.97 : 207,762.94 = 207,762.94 : x - Step 2: Convert to fraction form
97,993.97/207,762.94 = 207,762.94/x - Step 3: Cross multiply
97,993.97x = 207,762.94 × 207,762.94 - Step 4: Simplify right side
97,993.97x = 43,165,438,198.63 - Step 5: Solve for x
x = 43,165,438,198.63/97,993.97 - Step 6: Final answer
x = 440,490.76
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.