Finding the Third Proportional to 143,146,382,984 and 213,478,225,932
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Solution
The third proportional to 143,146,382,984 and 213,478,225,932 is: 318,366,080,910.11
Step by Step Solution
- Step 1: Write the proportion equation
143,146,382,984 : 213,478,225,932 = 213,478,225,932 : x - Step 2: Convert to fraction form
143,146,382,984/213,478,225,932 = 213,478,225,932/x - Step 3: Cross multiply
143,146,382,984x = 213,478,225,932 × 213,478,225,932 - Step 4: Simplify right side
143,146,382,984x = 45,572,952,947,074,040,594,432 - Step 5: Solve for x
x = 45,572,952,947,074,040,594,432/143,146,382,984 - Step 6: Final answer
x = 318,366,080,910.11
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.