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Finding the Third Proportional to 100,484 and 219,802

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Solution

The third proportional to 100,484 and 219,802 is: 480,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,484 : 219,802 = 219,802 : x
  2. Step 2: Convert to fraction form
    100,484/219,802 = 219,802/x
  3. Step 3: Cross multiply
    100,484x = 219,802 × 219,802
  4. Step 4: Simplify right side
    100,484x = 48,312,919,204
  5. Step 5: Solve for x
    x = 48,312,919,204/100,484
  6. Step 6: Final answer
    x = 480,802.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.