Finding the Third Proportional to 301,109,104 and 460,318,116
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Solution
The third proportional to 301,109,104 and 460,318,116 is: 703,707,609.98
Step by Step Solution
- Step 1: Write the proportion equation
301,109,104 : 460,318,116 = 460,318,116 : x - Step 2: Convert to fraction form
301,109,104/460,318,116 = 460,318,116/x - Step 3: Cross multiply
301,109,104x = 460,318,116 × 460,318,116 - Step 4: Simplify right side
301,109,104x = 211,892,767,917,789,440 - Step 5: Solve for x
x = 211,892,767,917,789,440/301,109,104 - Step 6: Final answer
x = 703,707,609.98
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.