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Finding the Third Proportional to 97,702 and 212,960

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Solution

The third proportional to 97,702 and 212,960 is: 464,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,702 : 212,960 = 212,960 : x
  2. Step 2: Convert to fraction form
    97,702/212,960 = 212,960/x
  3. Step 3: Cross multiply
    97,702x = 212,960 × 212,960
  4. Step 4: Simplify right side
    97,702x = 45,351,961,600
  5. Step 5: Solve for x
    x = 45,351,961,600/97,702
  6. Step 6: Final answer
    x = 464,186.62

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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.