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Finding the Third Proportional to 177,879,456 and 265,771,800

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Solution

The third proportional to 177,879,456 and 265,771,800 is: 397,092,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,879,456 : 265,771,800 = 265,771,800 : x
  2. Step 2: Convert to fraction form
    177,879,456/265,771,800 = 265,771,800/x
  3. Step 3: Cross multiply
    177,879,456x = 265,771,800 × 265,771,800
  4. Step 4: Simplify right side
    177,879,456x = 70,634,649,675,240,000
  5. Step 5: Solve for x
    x = 70,634,649,675,240,000/177,879,456
  6. Step 6: Final answer
    x = 397,092,791.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.