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Finding the Third Proportional to 101,432.25 and 216,936

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Solution

The third proportional to 101,432.25 and 216,936 is: 463,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.25 : 216,936 = 216,936 : x
  2. Step 2: Convert to fraction form
    101,432.25/216,936 = 216,936/x
  3. Step 3: Cross multiply
    101,432.25x = 216,936 × 216,936
  4. Step 4: Simplify right side
    101,432.25x = 47,061,228,096
  5. Step 5: Solve for x
    x = 47,061,228,096/101,432.25
  6. Step 6: Final answer
    x = 463,967.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.