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Finding the Third Proportional to 97,845.50 and 212,420

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Solution

The third proportional to 97,845.50 and 212,420 is: 461,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,845.50 : 212,420 = 212,420 : x
  2. Step 2: Convert to fraction form
    97,845.50/212,420 = 212,420/x
  3. Step 3: Cross multiply
    97,845.50x = 212,420 × 212,420
  4. Step 4: Simplify right side
    97,845.50x = 45,122,256,400
  5. Step 5: Solve for x
    x = 45,122,256,400/97,845.50
  6. Step 6: Final answer
    x = 461,158.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.