Finding the Third Proportional to 196,136,499,672 and 280,475,528,544
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Solution
The third proportional to 196,136,499,672 and 280,475,528,544 is: 401,080,483,457.14
Step by Step Solution
- Step 1: Write the proportion equation
196,136,499,672 : 280,475,528,544 = 280,475,528,544 : x - Step 2: Convert to fraction form
196,136,499,672/280,475,528,544 = 280,475,528,544/x - Step 3: Cross multiply
196,136,499,672x = 280,475,528,544 × 280,475,528,544 - Step 4: Simplify right side
196,136,499,672x = 78,666,522,112,036,156,997,632 - Step 5: Solve for x
x = 78,666,522,112,036,156,997,632/196,136,499,672 - Step 6: Final answer
x = 401,080,483,457.14
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.