Finding the Third Proportional to 102,798,957,866.63 and 225,456,271,580.26
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Solution
The third proportional to 102,798,957,866.63 and 225,456,271,580.26 is: 494,465,425,036.88
Step by Step Solution
- Step 1: Write the proportion equation
102,798,957,866.63 : 225,456,271,580.26 = 225,456,271,580.26 : x - Step 2: Convert to fraction form
102,798,957,866.63/225,456,271,580.26 = 225,456,271,580.26/x - Step 3: Cross multiply
102,798,957,866.63x = 225,456,271,580.26 × 225,456,271,580.26 - Step 4: Simplify right side
102,798,957,866.63x = 50,830,530,394,871,954,407,424 - Step 5: Solve for x
x = 50,830,530,394,871,954,407,424/102,798,957,866.63 - Step 6: Final answer
x = 494,465,425,036.88
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.