Finding the Third Proportional to 75,237,792.75 and 105,950,724.75
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Solution
The third proportional to 75,237,792.75 and 105,950,724.75 is: 149,201,028.70
Step by Step Solution
- Step 1: Write the proportion equation
75,237,792.75 : 105,950,724.75 = 105,950,724.75 : x - Step 2: Convert to fraction form
75,237,792.75/105,950,724.75 = 105,950,724.75/x - Step 3: Cross multiply
75,237,792.75x = 105,950,724.75 × 105,950,724.75 - Step 4: Simplify right side
75,237,792.75x = 11,225,556,075,050,262 - Step 5: Solve for x
x = 11,225,556,075,050,262/75,237,792.75 - Step 6: Final answer
x = 149,201,028.70
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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.