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Finding the Third Proportional to 97,944 and 212,480

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Solution

The third proportional to 97,944 and 212,480 is: 460,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,944 : 212,480 = 212,480 : x
  2. Step 2: Convert to fraction form
    97,944/212,480 = 212,480/x
  3. Step 3: Cross multiply
    97,944x = 212,480 × 212,480
  4. Step 4: Simplify right side
    97,944x = 45,147,750,400
  5. Step 5: Solve for x
    x = 45,147,750,400/97,944
  6. Step 6: Final answer
    x = 460,954.73

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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.