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Finding the Third Proportional to 97,722 and 212,931

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Solution

The third proportional to 97,722 and 212,931 is: 463,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722 : 212,931 = 212,931 : x
  2. Step 2: Convert to fraction form
    97,722/212,931 = 212,931/x
  3. Step 3: Cross multiply
    97,722x = 212,931 × 212,931
  4. Step 4: Simplify right side
    97,722x = 45,339,610,761
  5. Step 5: Solve for x
    x = 45,339,610,761/97,722
  6. Step 6: Final answer
    x = 463,965.24

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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.