Finding the Third Proportional to 99,888,738,234 and 205,072,869,476
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Solution
The third proportional to 99,888,738,234 and 205,072,869,476 is: 421,017,249,177.81
Step by Step Solution
- Step 1: Write the proportion equation
99,888,738,234 : 205,072,869,476 = 205,072,869,476 : x - Step 2: Convert to fraction form
99,888,738,234/205,072,869,476 = 205,072,869,476/x - Step 3: Cross multiply
99,888,738,234x = 205,072,869,476 × 205,072,869,476 - Step 4: Simplify right side
99,888,738,234x = 42,054,881,795,120,534,913,024 - Step 5: Solve for x
x = 42,054,881,795,120,534,913,024/99,888,738,234 - Step 6: Final answer
x = 421,017,249,177.81
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.