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Finding the Third Proportional to 75,524,163.75 and 116,622,522

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Solution

The third proportional to 75,524,163.75 and 116,622,522 is: 180,085,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,163.75 : 116,622,522 = 116,622,522 : x
  2. Step 2: Convert to fraction form
    75,524,163.75/116,622,522 = 116,622,522/x
  3. Step 3: Cross multiply
    75,524,163.75x = 116,622,522 × 116,622,522
  4. Step 4: Simplify right side
    75,524,163.75x = 13,600,812,637,640,484
  5. Step 5: Solve for x
    x = 13,600,812,637,640,484/75,524,163.75
  6. Step 6: Final answer
    x = 180,085,577.41

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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.