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Finding the Third Proportional to 96,525 and 212,697

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Solution

The third proportional to 96,525 and 212,697 is: 468,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,525 : 212,697 = 212,697 : x
  2. Step 2: Convert to fraction form
    96,525/212,697 = 212,697/x
  3. Step 3: Cross multiply
    96,525x = 212,697 × 212,697
  4. Step 4: Simplify right side
    96,525x = 45,240,013,809
  5. Step 5: Solve for x
    x = 45,240,013,809/96,525
  6. Step 6: Final answer
    x = 468,687.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.