Finding the Third Proportional to 102,676,562,264 and 219,483,510,858
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Solution
The third proportional to 102,676,562,264 and 219,483,510,858 is: 469,172,423,349.08
Step by Step Solution
- Step 1: Write the proportion equation
102,676,562,264 : 219,483,510,858 = 219,483,510,858 : x - Step 2: Convert to fraction form
102,676,562,264/219,483,510,858 = 219,483,510,858/x - Step 3: Cross multiply
102,676,562,264x = 219,483,510,858 × 219,483,510,858 - Step 4: Simplify right side
102,676,562,264x = 48,173,011,538,553,807,568,896 - Step 5: Solve for x
x = 48,173,011,538,553,807,568,896/102,676,562,264 - Step 6: Final answer
x = 469,172,423,349.08
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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.