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Finding the Third Proportional to 100,762 and 219,944

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Solution

The third proportional to 100,762 and 219,944 is: 480,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762 : 219,944 = 219,944 : x
  2. Step 2: Convert to fraction form
    100,762/219,944 = 219,944/x
  3. Step 3: Cross multiply
    100,762x = 219,944 × 219,944
  4. Step 4: Simplify right side
    100,762x = 48,375,363,136
  5. Step 5: Solve for x
    x = 48,375,363,136/100,762
  6. Step 6: Final answer
    x = 480,095.31

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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.