Finding the Third Proportional to 230,462,014 and 506,892,379
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Solution
The third proportional to 230,462,014 and 506,892,379 is: 1,114,890,386.61
Step by Step Solution
- Step 1: Write the proportion equation
230,462,014 : 506,892,379 = 506,892,379 : x - Step 2: Convert to fraction form
230,462,014/506,892,379 = 506,892,379/x - Step 3: Cross multiply
230,462,014x = 506,892,379 × 506,892,379 - Step 4: Simplify right side
230,462,014x = 256,939,883,888,279,648 - Step 5: Solve for x
x = 256,939,883,888,279,648/230,462,014 - Step 6: Final answer
x = 1,114,890,386.61
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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.