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Finding the Third Proportional to 109,910 and 236,884

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Solution

The third proportional to 109,910 and 236,884 is: 510,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,910 : 236,884 = 236,884 : x
  2. Step 2: Convert to fraction form
    109,910/236,884 = 236,884/x
  3. Step 3: Cross multiply
    109,910x = 236,884 × 236,884
  4. Step 4: Simplify right side
    109,910x = 56,114,029,456
  5. Step 5: Solve for x
    x = 56,114,029,456/109,910
  6. Step 6: Final answer
    x = 510,545.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.