Finding the Third Proportional to 106,765,203.94 and 170,893,815.19
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Solution
The third proportional to 106,765,203.94 and 170,893,815.19 is: 273,541,331.75
Step by Step Solution
- Step 1: Write the proportion equation
106,765,203.94 : 170,893,815.19 = 170,893,815.19 : x - Step 2: Convert to fraction form
106,765,203.94/170,893,815.19 = 170,893,815.19/x - Step 3: Cross multiply
106,765,203.94x = 170,893,815.19 × 170,893,815.19 - Step 4: Simplify right side
106,765,203.94x = 29,204,696,069,339,404 - Step 5: Solve for x
x = 29,204,696,069,339,404/106,765,203.94 - Step 6: Final answer
x = 273,541,331.75
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.