Finding the Third Proportional to 98,462 and 147,657
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Solution
The third proportional to 98,462 and 147,657 is: 221,431.51
Step by Step Solution
- Step 1: Write the proportion equation
98,462 : 147,657 = 147,657 : x - Step 2: Convert to fraction form
98,462/147,657 = 147,657/x - Step 3: Cross multiply
98,462x = 147,657 × 147,657 - Step 4: Simplify right side
98,462x = 21,802,589,649 - Step 5: Solve for x
x = 21,802,589,649/98,462 - Step 6: Final answer
x = 221,431.51
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.