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Finding the Third Proportional to 102,018 and 220,983

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Solution

The third proportional to 102,018 and 220,983 is: 478,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 220,983 = 220,983 : x
  2. Step 2: Convert to fraction form
    102,018/220,983 = 220,983/x
  3. Step 3: Cross multiply
    102,018x = 220,983 × 220,983
  4. Step 4: Simplify right side
    102,018x = 48,833,486,289
  5. Step 5: Solve for x
    x = 48,833,486,289/102,018
  6. Step 6: Final answer
    x = 478,675.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.