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Finding the Third Proportional to 101,064 and 219,822

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Solution

The third proportional to 101,064 and 219,822 is: 478,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,064 : 219,822 = 219,822 : x
  2. Step 2: Convert to fraction form
    101,064/219,822 = 219,822/x
  3. Step 3: Cross multiply
    101,064x = 219,822 × 219,822
  4. Step 4: Simplify right side
    101,064x = 48,321,711,684
  5. Step 5: Solve for x
    x = 48,321,711,684/101,064
  6. Step 6: Final answer
    x = 478,129.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.