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Finding the Third Proportional to 172,272,338 and 264,795,041

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Solution

The third proportional to 172,272,338 and 264,795,041 is: 407,009,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,338 : 264,795,041 = 264,795,041 : x
  2. Step 2: Convert to fraction form
    172,272,338/264,795,041 = 264,795,041/x
  3. Step 3: Cross multiply
    172,272,338x = 264,795,041 × 264,795,041
  4. Step 4: Simplify right side
    172,272,338x = 70,116,413,738,191,680
  5. Step 5: Solve for x
    x = 70,116,413,738,191,680/172,272,338
  6. Step 6: Final answer
    x = 407,009,126.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.