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Finding the Third Proportional to 171,345,824 and 261,036,240

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Solution

The third proportional to 171,345,824 and 261,036,240 is: 397,674,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,824 : 261,036,240 = 261,036,240 : x
  2. Step 2: Convert to fraction form
    171,345,824/261,036,240 = 261,036,240/x
  3. Step 3: Cross multiply
    171,345,824x = 261,036,240 × 261,036,240
  4. Step 4: Simplify right side
    171,345,824x = 68,139,918,593,337,600
  5. Step 5: Solve for x
    x = 68,139,918,593,337,600/171,345,824
  6. Step 6: Final answer
    x = 397,674,813.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.