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Finding the Third Proportional to 239,193,067.50 and 374,732,770.50

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Solution

The third proportional to 239,193,067.50 and 374,732,770.50 is: 587,076,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,193,067.50 : 374,732,770.50 = 374,732,770.50 : x
  2. Step 2: Convert to fraction form
    239,193,067.50/374,732,770.50 = 374,732,770.50/x
  3. Step 3: Cross multiply
    239,193,067.50x = 374,732,770.50 × 374,732,770.50
  4. Step 4: Simplify right side
    239,193,067.50x = 140,424,649,286,605,664
  5. Step 5: Solve for x
    x = 140,424,649,286,605,664/239,193,067.50
  6. Step 6: Final answer
    x = 587,076,585.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.