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Finding the Third Proportional to 177,391,936 and 265,364,576

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Solution

The third proportional to 177,391,936 and 265,364,576 is: 396,964,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,391,936 : 265,364,576 = 265,364,576 : x
  2. Step 2: Convert to fraction form
    177,391,936/265,364,576 = 265,364,576/x
  3. Step 3: Cross multiply
    177,391,936x = 265,364,576 × 265,364,576
  4. Step 4: Simplify right side
    177,391,936x = 70,418,358,195,659,776
  5. Step 5: Solve for x
    x = 70,418,358,195,659,776/177,391,936
  6. Step 6: Final answer
    x = 396,964,821.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.