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Finding the Third Proportional to 97,536 and 212,944

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Solution

The third proportional to 97,536 and 212,944 is: 464,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536 : 212,944 = 212,944 : x
  2. Step 2: Convert to fraction form
    97,536/212,944 = 212,944/x
  3. Step 3: Cross multiply
    97,536x = 212,944 × 212,944
  4. Step 4: Simplify right side
    97,536x = 45,345,147,136
  5. Step 5: Solve for x
    x = 45,345,147,136/97,536
  6. Step 6: Final answer
    x = 464,906.77

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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.