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Finding the Third Proportional to 57,418,499.25 and 125,997,745.50

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Solution

The third proportional to 57,418,499.25 and 125,997,745.50 is: 276,486,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,418,499.25 : 125,997,745.50 = 125,997,745.50 : x
  2. Step 2: Convert to fraction form
    57,418,499.25/125,997,745.50 = 125,997,745.50/x
  3. Step 3: Cross multiply
    57,418,499.25x = 125,997,745.50 × 125,997,745.50
  4. Step 4: Simplify right side
    57,418,499.25x = 15,875,431,871,082,770
  5. Step 5: Solve for x
    x = 15,875,431,871,082,770/57,418,499.25
  6. Step 6: Final answer
    x = 276,486,360.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.