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Finding the Third Proportional to 74,823,588 and 160,786,296

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Solution

The third proportional to 74,823,588 and 160,786,296 is: 345,509,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,823,588 : 160,786,296 = 160,786,296 : x
  2. Step 2: Convert to fraction form
    74,823,588/160,786,296 = 160,786,296/x
  3. Step 3: Cross multiply
    74,823,588x = 160,786,296 × 160,786,296
  4. Step 4: Simplify right side
    74,823,588x = 25,852,232,981,399,616
  5. Step 5: Solve for x
    x = 25,852,232,981,399,616/74,823,588
  6. Step 6: Final answer
    x = 345,509,132.51

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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.