Finding the Third Proportional to 80,690,197,266.75 and 176,580,658,944.75
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Solution
The third proportional to 80,690,197,266.75 and 176,580,658,944.75 is: 386,425,243,332.63
Step by Step Solution
- Step 1: Write the proportion equation
80,690,197,266.75 : 176,580,658,944.75 = 176,580,658,944.75 : x - Step 2: Convert to fraction form
80,690,197,266.75/176,580,658,944.75 = 176,580,658,944.75/x - Step 3: Cross multiply
80,690,197,266.75x = 176,580,658,944.75 × 176,580,658,944.75 - Step 4: Simplify right side
80,690,197,266.75x = 31,180,729,113,362,118,475,776 - Step 5: Solve for x
x = 31,180,729,113,362,118,475,776/80,690,197,266.75 - Step 6: Final answer
x = 386,425,243,332.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.