Finding the Third Proportional to 99,802.13 and 204,261.75
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Solution
The third proportional to 99,802.13 and 204,261.75 is: 418,055.85
Step by Step Solution
- Step 1: Write the proportion equation
99,802.13 : 204,261.75 = 204,261.75 : x - Step 2: Convert to fraction form
99,802.13/204,261.75 = 204,261.75/x - Step 3: Cross multiply
99,802.13x = 204,261.75 × 204,261.75 - Step 4: Simplify right side
99,802.13x = 41,722,862,513.06 - Step 5: Solve for x
x = 41,722,862,513.06/99,802.13 - Step 6: Final answer
x = 418,055.85
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.