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Finding the Third Proportional to 74,823,589.50 and 160,786,299

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Solution

The third proportional to 74,823,589.50 and 160,786,299 is: 345,509,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,823,589.50 : 160,786,299 = 160,786,299 : x
  2. Step 2: Convert to fraction form
    74,823,589.50/160,786,299 = 160,786,299/x
  3. Step 3: Cross multiply
    74,823,589.50x = 160,786,299 × 160,786,299
  4. Step 4: Simplify right side
    74,823,589.50x = 25,852,233,946,117,400
  5. Step 5: Solve for x
    x = 25,852,233,946,117,400/74,823,589.50
  6. Step 6: Final answer
    x = 345,509,138.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.