Finding the Third Proportional to 46,710 and 99,978
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Solution
The third proportional to 46,710 and 99,978 is: 213,992.73
Step by Step Solution
- Step 1: Write the proportion equation
46,710 : 99,978 = 99,978 : x - Step 2: Convert to fraction form
46,710/99,978 = 99,978/x - Step 3: Cross multiply
46,710x = 99,978 × 99,978 - Step 4: Simplify right side
46,710x = 9,995,600,484 - Step 5: Solve for x
x = 9,995,600,484/46,710 - Step 6: Final answer
x = 213,992.73
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.