Finding the Third Proportional to 197,584,348,032 and 266,587,673,674.50
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Solution
The third proportional to 197,584,348,032 and 266,587,673,674.50 is: 359,689,360,331.68
Step by Step Solution
- Step 1: Write the proportion equation
197,584,348,032 : 266,587,673,674.50 = 266,587,673,674.50 : x - Step 2: Convert to fraction form
197,584,348,032/266,587,673,674.50 = 266,587,673,674.50/x - Step 3: Cross multiply
197,584,348,032x = 266,587,673,674.50 × 266,587,673,674.50 - Step 4: Simplify right side
197,584,348,032x = 71,068,987,755,181,696,352,256 - Step 5: Solve for x
x = 71,068,987,755,181,696,352,256/197,584,348,032 - Step 6: Final answer
x = 359,689,360,331.68
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.