Finding the Third Proportional to 99,897.25 and 214,009.75
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Solution
The third proportional to 99,897.25 and 214,009.75 is: 458,472.81
Step by Step Solution
- Step 1: Write the proportion equation
99,897.25 : 214,009.75 = 214,009.75 : x - Step 2: Convert to fraction form
99,897.25/214,009.75 = 214,009.75/x - Step 3: Cross multiply
99,897.25x = 214,009.75 × 214,009.75 - Step 4: Simplify right side
99,897.25x = 45,800,173,095.06 - Step 5: Solve for x
x = 45,800,173,095.06/99,897.25 - Step 6: Final answer
x = 458,472.81
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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.