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Finding the Third Proportional to 101,232 and 219,156

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Solution

The third proportional to 101,232 and 219,156 is: 474,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,232 : 219,156 = 219,156 : x
  2. Step 2: Convert to fraction form
    101,232/219,156 = 219,156/x
  3. Step 3: Cross multiply
    101,232x = 219,156 × 219,156
  4. Step 4: Simplify right side
    101,232x = 48,029,352,336
  5. Step 5: Solve for x
    x = 48,029,352,336/101,232
  6. Step 6: Final answer
    x = 474,448.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.