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Finding the Third Proportional to 177,191,008 and 255,250,560

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Solution

The third proportional to 177,191,008 and 255,250,560 is: 367,698,390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,191,008 : 255,250,560 = 255,250,560 : x
  2. Step 2: Convert to fraction form
    177,191,008/255,250,560 = 255,250,560/x
  3. Step 3: Cross multiply
    177,191,008x = 255,250,560 × 255,250,560
  4. Step 4: Simplify right side
    177,191,008x = 65,152,848,380,313,600
  5. Step 5: Solve for x
    x = 65,152,848,380,313,600/177,191,008
  6. Step 6: Final answer
    x = 367,698,390.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.