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Finding the Third Proportional to 96,848 and 212,868

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Solution

The third proportional to 96,848 and 212,868 is: 467,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,848 : 212,868 = 212,868 : x
  2. Step 2: Convert to fraction form
    96,848/212,868 = 212,868/x
  3. Step 3: Cross multiply
    96,848x = 212,868 × 212,868
  4. Step 4: Simplify right side
    96,848x = 45,312,785,424
  5. Step 5: Solve for x
    x = 45,312,785,424/96,848
  6. Step 6: Final answer
    x = 467,875.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.