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Finding the Third Proportional to 97,043 and 212,188

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Solution

The third proportional to 97,043 and 212,188 is: 463,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,043 : 212,188 = 212,188 : x
  2. Step 2: Convert to fraction form
    97,043/212,188 = 212,188/x
  3. Step 3: Cross multiply
    97,043x = 212,188 × 212,188
  4. Step 4: Simplify right side
    97,043x = 45,023,747,344
  5. Step 5: Solve for x
    x = 45,023,747,344/97,043
  6. Step 6: Final answer
    x = 463,956.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.