Finding the Third Proportional to 105,231,984,230 and 245,549,782,134
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Solution
The third proportional to 105,231,984,230 and 245,549,782,134 is: 572,969,292,057.37
Step by Step Solution
- Step 1: Write the proportion equation
105,231,984,230 : 245,549,782,134 = 245,549,782,134 : x - Step 2: Convert to fraction form
105,231,984,230/245,549,782,134 = 245,549,782,134/x - Step 3: Cross multiply
105,231,984,230x = 245,549,782,134 × 245,549,782,134 - Step 4: Simplify right side
105,231,984,230x = 60,294,695,506,054,861,553,664 - Step 5: Solve for x
x = 60,294,695,506,054,861,553,664/105,231,984,230 - Step 6: Final answer
x = 572,969,292,057.37
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.