Finding the Third Proportional to 107,213.63 and 233,102.06
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Solution
The third proportional to 107,213.63 and 233,102.06 is: 506,806.59
Step by Step Solution
- Step 1: Write the proportion equation
107,213.63 : 233,102.06 = 233,102.06 : x - Step 2: Convert to fraction form
107,213.63/233,102.06 = 233,102.06/x - Step 3: Cross multiply
107,213.63x = 233,102.06 × 233,102.06 - Step 4: Simplify right side
107,213.63x = 54,336,571,541.75 - Step 5: Solve for x
x = 54,336,571,541.75/107,213.63 - Step 6: Final answer
x = 506,806.59
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.