Finding the Third Proportional to 140,310,106,924.50 and 288,058,461,366
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Solution
The third proportional to 140,310,106,924.50 and 288,058,461,366 is: 591,387,740,935.85
Step by Step Solution
- Step 1: Write the proportion equation
140,310,106,924.50 : 288,058,461,366 = 288,058,461,366 : x - Step 2: Convert to fraction form
140,310,106,924.50/288,058,461,366 = 288,058,461,366/x - Step 3: Cross multiply
140,310,106,924.50x = 288,058,461,366 × 288,058,461,366 - Step 4: Simplify right side
140,310,106,924.50x = 82,977,677,164,547,313,500,160 - Step 5: Solve for x
x = 82,977,677,164,547,313,500,160/140,310,106,924.50 - Step 6: Final answer
x = 591,387,740,935.85
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.