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Finding the Third Proportional to 167,883,300 and 361,275,764.63

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Solution

The third proportional to 167,883,300 and 361,275,764.63 is: 777,445,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,883,300 : 361,275,764.63 = 361,275,764.63 : x
  2. Step 2: Convert to fraction form
    167,883,300/361,275,764.63 = 361,275,764.63/x
  3. Step 3: Cross multiply
    167,883,300x = 361,275,764.63 × 361,275,764.63
  4. Step 4: Simplify right side
    167,883,300x = 130,520,178,105,378,400
  5. Step 5: Solve for x
    x = 130,520,178,105,378,400/167,883,300
  6. Step 6: Final answer
    x = 777,445,869.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.