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Finding the Third Proportional to 140,022,920.25 and 202,291,524

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Solution

The third proportional to 140,022,920.25 and 202,291,524 is: 292,251,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,022,920.25 : 202,291,524 = 202,291,524 : x
  2. Step 2: Convert to fraction form
    140,022,920.25/202,291,524 = 202,291,524/x
  3. Step 3: Cross multiply
    140,022,920.25x = 202,291,524 × 202,291,524
  4. Step 4: Simplify right side
    140,022,920.25x = 40,921,860,682,242,576
  5. Step 5: Solve for x
    x = 40,921,860,682,242,576/140,022,920.25
  6. Step 6: Final answer
    x = 292,251,158.66

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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.