Finding the Third Proportional to 106,280,264,511 and 234,223,831,765.50
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Solution
The third proportional to 106,280,264,511 and 234,223,831,765.50 is: 516,189,940,054.54
Step by Step Solution
- Step 1: Write the proportion equation
106,280,264,511 : 234,223,831,765.50 = 234,223,831,765.50 : x - Step 2: Convert to fraction form
106,280,264,511/234,223,831,765.50 = 234,223,831,765.50/x - Step 3: Cross multiply
106,280,264,511x = 234,223,831,765.50 × 234,223,831,765.50 - Step 4: Simplify right side
106,280,264,511x = 54,860,803,366,913,245,708,288 - Step 5: Solve for x
x = 54,860,803,366,913,245,708,288/106,280,264,511 - Step 6: Final answer
x = 516,189,940,054.54
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.