Finding the Third Proportional to 166,293,460,030 and 341,402,620,826
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Solution
The third proportional to 166,293,460,030 and 341,402,620,826 is: 700,903,989,163.70
Step by Step Solution
- Step 1: Write the proportion equation
166,293,460,030 : 341,402,620,826 = 341,402,620,826 : x - Step 2: Convert to fraction form
166,293,460,030/341,402,620,826 = 341,402,620,826/x - Step 3: Cross multiply
166,293,460,030x = 341,402,620,826 × 341,402,620,826 - Step 4: Simplify right side
166,293,460,030x = 116,555,749,506,861,521,436,672 - Step 5: Solve for x
x = 116,555,749,506,861,521,436,672/166,293,460,030 - Step 6: Final answer
x = 700,903,989,163.70
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.