Finding the Third Proportional to 48,486,836.81 and 107,735,352.19
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Solution
The third proportional to 48,486,836.81 and 107,735,352.19 is: 239,382,621.64
Step by Step Solution
- Step 1: Write the proportion equation
48,486,836.81 : 107,735,352.19 = 107,735,352.19 : x - Step 2: Convert to fraction form
48,486,836.81/107,735,352.19 = 107,735,352.19/x - Step 3: Cross multiply
48,486,836.81x = 107,735,352.19 × 107,735,352.19 - Step 4: Simplify right side
48,486,836.81x = 11,606,906,110,964,662 - Step 5: Solve for x
x = 11,606,906,110,964,662/48,486,836.81 - Step 6: Final answer
x = 239,382,621.64
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.