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Finding the Third Proportional to 97,491 and 212,826

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Solution

The third proportional to 97,491 and 212,826 is: 464,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,491 : 212,826 = 212,826 : x
  2. Step 2: Convert to fraction form
    97,491/212,826 = 212,826/x
  3. Step 3: Cross multiply
    97,491x = 212,826 × 212,826
  4. Step 4: Simplify right side
    97,491x = 45,294,906,276
  5. Step 5: Solve for x
    x = 45,294,906,276/97,491
  6. Step 6: Final answer
    x = 464,606.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.