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Finding the Third Proportional to 96,820 and 212,732

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Solution

The third proportional to 96,820 and 212,732 is: 467,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,820 : 212,732 = 212,732 : x
  2. Step 2: Convert to fraction form
    96,820/212,732 = 212,732/x
  3. Step 3: Cross multiply
    96,820x = 212,732 × 212,732
  4. Step 4: Simplify right side
    96,820x = 45,254,903,824
  5. Step 5: Solve for x
    x = 45,254,903,824/96,820
  6. Step 6: Final answer
    x = 467,412.76

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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.