Finding the Third Proportional to 97,942 and 219,852
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Solution
The third proportional to 97,942 and 219,852 is: 493,505.36
Step by Step Solution
- Step 1: Write the proportion equation
97,942 : 219,852 = 219,852 : x - Step 2: Convert to fraction form
97,942/219,852 = 219,852/x - Step 3: Cross multiply
97,942x = 219,852 × 219,852 - Step 4: Simplify right side
97,942x = 48,334,901,904 - Step 5: Solve for x
x = 48,334,901,904/97,942 - Step 6: Final answer
x = 493,505.36
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Why These Related Problems?
These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.