Finding the Third Proportional to 107,632,735,728 and 230,617,811,412
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Solution
The third proportional to 107,632,735,728 and 230,617,811,412 is: 494,130,104,384.45
Step by Step Solution
- Step 1: Write the proportion equation
107,632,735,728 : 230,617,811,412 = 230,617,811,412 : x - Step 2: Convert to fraction form
107,632,735,728/230,617,811,412 = 230,617,811,412/x - Step 3: Cross multiply
107,632,735,728x = 230,617,811,412 × 230,617,811,412 - Step 4: Simplify right side
107,632,735,728x = 53,184,574,940,460,800,278,528 - Step 5: Solve for x
x = 53,184,574,940,460,800,278,528/107,632,735,728 - Step 6: Final answer
x = 494,130,104,384.45
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.