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Finding the Third Proportional to 101,829 and 219,330

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Solution

The third proportional to 101,829 and 219,330 is: 472,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,829 : 219,330 = 219,330 : x
  2. Step 2: Convert to fraction form
    101,829/219,330 = 219,330/x
  3. Step 3: Cross multiply
    101,829x = 219,330 × 219,330
  4. Step 4: Simplify right side
    101,829x = 48,105,648,900
  5. Step 5: Solve for x
    x = 48,105,648,900/101,829
  6. Step 6: Final answer
    x = 472,416.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.