Finding the Third Proportional to 181,115,907.75 and 282,435,513.75
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Solution
The third proportional to 181,115,907.75 and 282,435,513.75 is: 440,435,191.02
Step by Step Solution
- Step 1: Write the proportion equation
181,115,907.75 : 282,435,513.75 = 282,435,513.75 : x - Step 2: Convert to fraction form
181,115,907.75/282,435,513.75 = 282,435,513.75/x - Step 3: Cross multiply
181,115,907.75x = 282,435,513.75 × 282,435,513.75 - Step 4: Simplify right side
181,115,907.75x = 79,769,819,427,226,432 - Step 5: Solve for x
x = 79,769,819,427,226,432/181,115,907.75 - Step 6: Final answer
x = 440,435,191.02
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.