Finding the Third Proportional to 226,206,624,570.75 and 337,348,299,430.12
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Solution
The third proportional to 226,206,624,570.75 and 337,348,299,430.12 is: 503,097,004,096.80
Step by Step Solution
- Step 1: Write the proportion equation
226,206,624,570.75 : 337,348,299,430.12 = 337,348,299,430.12 : x - Step 2: Convert to fraction form
226,206,624,570.75/337,348,299,430.12 = 337,348,299,430.12/x - Step 3: Cross multiply
226,206,624,570.75x = 337,348,299,430.12 × 337,348,299,430.12 - Step 4: Simplify right side
226,206,624,570.75x = 113,803,875,128,393,890,529,280 - Step 5: Solve for x
x = 113,803,875,128,393,890,529,280/226,206,624,570.75 - Step 6: Final answer
x = 503,097,004,096.80
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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.