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Finding the Third Proportional to 57,315,200 and 121,099,600

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Solution

The third proportional to 57,315,200 and 121,099,600 is: 255,867,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,315,200 : 121,099,600 = 121,099,600 : x
  2. Step 2: Convert to fraction form
    57,315,200/121,099,600 = 121,099,600/x
  3. Step 3: Cross multiply
    57,315,200x = 121,099,600 × 121,099,600
  4. Step 4: Simplify right side
    57,315,200x = 14,665,113,120,160,000
  5. Step 5: Solve for x
    x = 14,665,113,120,160,000/57,315,200
  6. Step 6: Final answer
    x = 255,867,782.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.