Finding the Third Proportional to 136,275,375,598 and 298,197,030,974
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Solution
The third proportional to 136,275,375,598 and 298,197,030,974 is: 652,513,110,982.13
Step by Step Solution
- Step 1: Write the proportion equation
136,275,375,598 : 298,197,030,974 = 298,197,030,974 : x - Step 2: Convert to fraction form
136,275,375,598/298,197,030,974 = 298,197,030,974/x - Step 3: Cross multiply
136,275,375,598x = 298,197,030,974 × 298,197,030,974 - Step 4: Simplify right side
136,275,375,598x = 88,921,469,281,708,709,773,312 - Step 5: Solve for x
x = 88,921,469,281,708,709,773,312/136,275,375,598 - Step 6: Final answer
x = 652,513,110,982.13
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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.