Finding the Third Proportional to 154,350,819,276 and 334,344,021,096
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Solution
The third proportional to 154,350,819,276 and 334,344,021,096 is: 724,232,789,738.25
Step by Step Solution
- Step 1: Write the proportion equation
154,350,819,276 : 334,344,021,096 = 334,344,021,096 : x - Step 2: Convert to fraction form
154,350,819,276/334,344,021,096 = 334,344,021,096/x - Step 3: Cross multiply
154,350,819,276x = 334,344,021,096 × 334,344,021,096 - Step 4: Simplify right side
154,350,819,276x = 111,785,924,442,642,492,424,192 - Step 5: Solve for x
x = 111,785,924,442,642,492,424,192/154,350,819,276 - Step 6: Final answer
x = 724,232,789,738.25
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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.