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Finding the Third Proportional to 98,225 and 212,101

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Solution

The third proportional to 98,225 and 212,101 is: 457,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,225 : 212,101 = 212,101 : x
  2. Step 2: Convert to fraction form
    98,225/212,101 = 212,101/x
  3. Step 3: Cross multiply
    98,225x = 212,101 × 212,101
  4. Step 4: Simplify right side
    98,225x = 44,986,834,201
  5. Step 5: Solve for x
    x = 44,986,834,201/98,225
  6. Step 6: Final answer
    x = 457,997.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.