Finding the Third Proportional to 75,524,095.69 and 116,622,415.13
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Solution
The third proportional to 75,524,095.69 and 116,622,415.13 is: 180,085,409.64
Step by Step Solution
- Step 1: Write the proportion equation
75,524,095.69 : 116,622,415.13 = 116,622,415.13 : x - Step 2: Convert to fraction form
75,524,095.69/116,622,415.13 = 116,622,415.13/x - Step 3: Cross multiply
75,524,095.69x = 116,622,415.13 × 116,622,415.13 - Step 4: Simplify right side
75,524,095.69x = 13,600,787,709,587,828 - Step 5: Solve for x
x = 13,600,787,709,587,828/75,524,095.69 - Step 6: Final answer
x = 180,085,409.64
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.