Finding the Third Proportional to 46,902 and 101,280
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Solution
The third proportional to 46,902 and 101,280 is: 218,703.65
Step by Step Solution
- Step 1: Write the proportion equation
46,902 : 101,280 = 101,280 : x - Step 2: Convert to fraction form
46,902/101,280 = 101,280/x - Step 3: Cross multiply
46,902x = 101,280 × 101,280 - Step 4: Simplify right side
46,902x = 10,257,638,400 - Step 5: Solve for x
x = 10,257,638,400/46,902 - Step 6: Final answer
x = 218,703.65
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.