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Finding the Third Proportional to 75,524,019.75 and 116,622,297.56

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Solution

The third proportional to 75,524,019.75 and 116,622,297.56 is: 180,085,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,019.75 : 116,622,297.56 = 116,622,297.56 : x
  2. Step 2: Convert to fraction form
    75,524,019.75/116,622,297.56 = 116,622,297.56/x
  3. Step 3: Cross multiply
    75,524,019.75x = 116,622,297.56 × 116,622,297.56
  4. Step 4: Simplify right side
    75,524,019.75x = 13,600,760,288,756,294
  5. Step 5: Solve for x
    x = 13,600,760,288,756,294/75,524,019.75
  6. Step 6: Final answer
    x = 180,085,227.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.