Finding the Third Proportional to 49,563,973.75 and 107,365,419.75
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Solution
The third proportional to 49,563,973.75 and 107,365,419.75 is: 232,574,841.88
Step by Step Solution
- Step 1: Write the proportion equation
49,563,973.75 : 107,365,419.75 = 107,365,419.75 : x - Step 2: Convert to fraction form
49,563,973.75/107,365,419.75 = 107,365,419.75/x - Step 3: Cross multiply
49,563,973.75x = 107,365,419.75 × 107,365,419.75 - Step 4: Simplify right side
49,563,973.75x = 11,527,333,358,093,690 - Step 5: Solve for x
x = 11,527,333,358,093,690/49,563,973.75 - Step 6: Final answer
x = 232,574,841.88
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.