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Finding the Third Proportional to 102,217 and 220,057

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Solution

The third proportional to 102,217 and 220,057 is: 473,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,217 : 220,057 = 220,057 : x
  2. Step 2: Convert to fraction form
    102,217/220,057 = 220,057/x
  3. Step 3: Cross multiply
    102,217x = 220,057 × 220,057
  4. Step 4: Simplify right side
    102,217x = 48,425,083,249
  5. Step 5: Solve for x
    x = 48,425,083,249/102,217
  6. Step 6: Final answer
    x = 473,747.84

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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.