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Finding the Third Proportional to 57,315,198 and 121,099,596

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Solution

The third proportional to 57,315,198 and 121,099,596 is: 255,867,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,315,198 : 121,099,596 = 121,099,596 : x
  2. Step 2: Convert to fraction form
    57,315,198/121,099,596 = 121,099,596/x
  3. Step 3: Cross multiply
    57,315,198x = 121,099,596 × 121,099,596
  4. Step 4: Simplify right side
    57,315,198x = 14,665,112,151,363,216
  5. Step 5: Solve for x
    x = 14,665,112,151,363,216/57,315,198
  6. Step 6: Final answer
    x = 255,867,774.40

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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.