Finding the Third Proportional to 103,803,317 and 146,012,395
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Solution
The third proportional to 103,803,317 and 146,012,395 is: 205,384,761.39
Step by Step Solution
- Step 1: Write the proportion equation
103,803,317 : 146,012,395 = 146,012,395 : x - Step 2: Convert to fraction form
103,803,317/146,012,395 = 146,012,395/x - Step 3: Cross multiply
103,803,317x = 146,012,395 × 146,012,395 - Step 4: Simplify right side
103,803,317x = 21,319,619,493,636,024 - Step 5: Solve for x
x = 21,319,619,493,636,024/103,803,317 - Step 6: Final answer
x = 205,384,761.39
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.