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Finding the Third Proportional to 97,531 and 212,922

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Solution

The third proportional to 97,531 and 212,922 is: 464,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,531 : 212,922 = 212,922 : x
  2. Step 2: Convert to fraction form
    97,531/212,922 = 212,922/x
  3. Step 3: Cross multiply
    97,531x = 212,922 × 212,922
  4. Step 4: Simplify right side
    97,531x = 45,335,778,084
  5. Step 5: Solve for x
    x = 45,335,778,084/97,531
  6. Step 6: Final answer
    x = 464,834.55

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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.