Finding the Third Proportional to 45,740 and 99,896
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Solution
The third proportional to 45,740 and 99,896 is: 218,172.51
Step by Step Solution
- Step 1: Write the proportion equation
45,740 : 99,896 = 99,896 : x - Step 2: Convert to fraction form
45,740/99,896 = 99,896/x - Step 3: Cross multiply
45,740x = 99,896 × 99,896 - Step 4: Simplify right side
45,740x = 9,979,210,816 - Step 5: Solve for x
x = 9,979,210,816/45,740 - Step 6: Final answer
x = 218,172.51
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.