Finding the Third Proportional to 170,112,180 and 371,013,513
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Solution
The third proportional to 170,112,180 and 371,013,513 is: 809,177,960.26
Step by Step Solution
- Step 1: Write the proportion equation
170,112,180 : 371,013,513 = 371,013,513 : x - Step 2: Convert to fraction form
170,112,180/371,013,513 = 371,013,513/x - Step 3: Cross multiply
170,112,180x = 371,013,513 × 371,013,513 - Step 4: Simplify right side
170,112,180x = 137,651,026,828,601,168 - Step 5: Solve for x
x = 137,651,026,828,601,168/170,112,180 - Step 6: Final answer
x = 809,177,960.26
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.