Finding the Third Proportional to 102,676,562,248 and 219,483,510,824
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Solution
The third proportional to 102,676,562,248 and 219,483,510,824 is: 469,172,423,276.84
Step by Step Solution
- Step 1: Write the proportion equation
102,676,562,248 : 219,483,510,824 = 219,483,510,824 : x - Step 2: Convert to fraction form
102,676,562,248/219,483,510,824 = 219,483,510,824/x - Step 3: Cross multiply
102,676,562,248x = 219,483,510,824 × 219,483,510,824 - Step 4: Simplify right side
102,676,562,248x = 48,173,011,523,628,922,044,416 - Step 5: Solve for x
x = 48,173,011,523,628,922,044,416/102,676,562,248 - Step 6: Final answer
x = 469,172,423,276.84
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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.