Finding the Third Proportional to 145,278,515,947.50 and 204,495,014,964
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Solution
The third proportional to 145,278,515,947.50 and 204,495,014,964 is: 287,848,556,769.67
Step by Step Solution
- Step 1: Write the proportion equation
145,278,515,947.50 : 204,495,014,964 = 204,495,014,964 : x - Step 2: Convert to fraction form
145,278,515,947.50/204,495,014,964 = 204,495,014,964/x - Step 3: Cross multiply
145,278,515,947.50x = 204,495,014,964 × 204,495,014,964 - Step 4: Simplify right side
145,278,515,947.50x = 41,818,211,145,126,579,798,016 - Step 5: Solve for x
x = 41,818,211,145,126,579,798,016/145,278,515,947.50 - Step 6: Final answer
x = 287,848,556,769.67
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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.