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Finding the Third Proportional to 100,590 and 219,217

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Solution

The third proportional to 100,590 and 219,217 is: 477,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,590 : 219,217 = 219,217 : x
  2. Step 2: Convert to fraction form
    100,590/219,217 = 219,217/x
  3. Step 3: Cross multiply
    100,590x = 219,217 × 219,217
  4. Step 4: Simplify right side
    100,590x = 48,056,093,089
  5. Step 5: Solve for x
    x = 48,056,093,089/100,590
  6. Step 6: Final answer
    x = 477,742.25

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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.