Finding the Third Proportional to 99,904 and 214,058
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Solution
The third proportional to 99,904 and 214,058 is: 458,648.58
Step by Step Solution
- Step 1: Write the proportion equation
99,904 : 214,058 = 214,058 : x - Step 2: Convert to fraction form
99,904/214,058 = 214,058/x - Step 3: Cross multiply
99,904x = 214,058 × 214,058 - Step 4: Simplify right side
99,904x = 45,820,827,364 - Step 5: Solve for x
x = 45,820,827,364/99,904 - Step 6: Final answer
x = 458,648.58
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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.