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Finding the Third Proportional to 169,236,260 and 379,889,224

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Solution

The third proportional to 169,236,260 and 379,889,224 is: 852,747,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,236,260 : 379,889,224 = 379,889,224 : x
  2. Step 2: Convert to fraction form
    169,236,260/379,889,224 = 379,889,224/x
  3. Step 3: Cross multiply
    169,236,260x = 379,889,224 × 379,889,224
  4. Step 4: Simplify right side
    169,236,260x = 144,315,822,511,322,176
  5. Step 5: Solve for x
    x = 144,315,822,511,322,176/169,236,260
  6. Step 6: Final answer
    x = 852,747,647.05

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.