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Finding the Third Proportional to 97,708 and 212,912

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Solution

The third proportional to 97,708 and 212,912 is: 463,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,708 : 212,912 = 212,912 : x
  2. Step 2: Convert to fraction form
    97,708/212,912 = 212,912/x
  3. Step 3: Cross multiply
    97,708x = 212,912 × 212,912
  4. Step 4: Simplify right side
    97,708x = 45,331,519,744
  5. Step 5: Solve for x
    x = 45,331,519,744/97,708
  6. Step 6: Final answer
    x = 463,948.91

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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.