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Finding the Third Proportional to 97,035 and 212,112

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Solution

The third proportional to 97,035 and 212,112 is: 463,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,035 : 212,112 = 212,112 : x
  2. Step 2: Convert to fraction form
    97,035/212,112 = 212,112/x
  3. Step 3: Cross multiply
    97,035x = 212,112 × 212,112
  4. Step 4: Simplify right side
    97,035x = 44,991,500,544
  5. Step 5: Solve for x
    x = 44,991,500,544/97,035
  6. Step 6: Final answer
    x = 463,662.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.