Finding the Third Proportional to 102,381,645 and 144,866,871.75
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Solution
The third proportional to 102,381,645 and 144,866,871.75 is: 204,982,157.99
Step by Step Solution
- Step 1: Write the proportion equation
102,381,645 : 144,866,871.75 = 144,866,871.75 : x - Step 2: Convert to fraction form
102,381,645/144,866,871.75 = 144,866,871.75/x - Step 3: Cross multiply
102,381,645x = 144,866,871.75 × 144,866,871.75 - Step 4: Simplify right side
102,381,645x = 20,986,410,530,630,948 - Step 5: Solve for x
x = 20,986,410,530,630,948/102,381,645 - Step 6: Final answer
x = 204,982,157.99
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.