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Finding the Third Proportional to 97,489 and 212,606

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Solution

The third proportional to 97,489 and 212,606 is: 463,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,489 : 212,606 = 212,606 : x
  2. Step 2: Convert to fraction form
    97,489/212,606 = 212,606/x
  3. Step 3: Cross multiply
    97,489x = 212,606 × 212,606
  4. Step 4: Simplify right side
    97,489x = 45,201,311,236
  5. Step 5: Solve for x
    x = 45,201,311,236/97,489
  6. Step 6: Final answer
    x = 463,655.50

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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.