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Finding the Third Proportional to 96,732 and 213,078

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Solution

The third proportional to 96,732 and 213,078 is: 469,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,732 : 213,078 = 213,078 : x
  2. Step 2: Convert to fraction form
    96,732/213,078 = 213,078/x
  3. Step 3: Cross multiply
    96,732x = 213,078 × 213,078
  4. Step 4: Simplify right side
    96,732x = 45,402,234,084
  5. Step 5: Solve for x
    x = 45,402,234,084/96,732
  6. Step 6: Final answer
    x = 469,361.06

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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.