Finding the Third Proportional to 202,762,609,201.41 and 422,211,734,248.77
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Solution
The third proportional to 202,762,609,201.41 and 422,211,734,248.77 is: 879,169,730,747.94
Step by Step Solution
- Step 1: Write the proportion equation
202,762,609,201.41 : 422,211,734,248.77 = 422,211,734,248.77 : x - Step 2: Convert to fraction form
202,762,609,201.41/422,211,734,248.77 = 422,211,734,248.77/x - Step 3: Cross multiply
202,762,609,201.41x = 422,211,734,248.77 × 422,211,734,248.77 - Step 4: Simplify right side
202,762,609,201.41x = 178,262,748,537,354,002,104,320 - Step 5: Solve for x
x = 178,262,748,537,354,002,104,320/202,762,609,201.41 - Step 6: Final answer
x = 879,169,730,747.94
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.