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Finding the Third Proportional to 97,070 and 212,100

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Solution

The third proportional to 97,070 and 212,100 is: 463,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070 : 212,100 = 212,100 : x
  2. Step 2: Convert to fraction form
    97,070/212,100 = 212,100/x
  3. Step 3: Cross multiply
    97,070x = 212,100 × 212,100
  4. Step 4: Simplify right side
    97,070x = 44,986,410,000
  5. Step 5: Solve for x
    x = 44,986,410,000/97,070
  6. Step 6: Final answer
    x = 463,442.98

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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.