Finding the Third Proportional to 102,007,782 and 220,135,698
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Solution
The third proportional to 102,007,782 and 220,135,698 is: 475,059,104.16
Step by Step Solution
- Step 1: Write the proportion equation
102,007,782 : 220,135,698 = 220,135,698 : x - Step 2: Convert to fraction form
102,007,782/220,135,698 = 220,135,698/x - Step 3: Cross multiply
102,007,782x = 220,135,698 × 220,135,698 - Step 4: Simplify right side
102,007,782x = 48,459,725,533,947,200 - Step 5: Solve for x
x = 48,459,725,533,947,200/102,007,782 - Step 6: Final answer
x = 475,059,104.16
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.