Finding the Third Proportional to 97,718.25 and 214,138.50
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Solution
The third proportional to 97,718.25 and 214,138.50 is: 469,260.32
Step by Step Solution
- Step 1: Write the proportion equation
97,718.25 : 214,138.50 = 214,138.50 : x - Step 2: Convert to fraction form
97,718.25/214,138.50 = 214,138.50/x - Step 3: Cross multiply
97,718.25x = 214,138.50 × 214,138.50 - Step 4: Simplify right side
97,718.25x = 45,855,297,182.25 - Step 5: Solve for x
x = 45,855,297,182.25/97,718.25 - Step 6: Final answer
x = 469,260.32
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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.