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Finding the Third Proportional to 95,910 and 210,854

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Solution

The third proportional to 95,910 and 210,854 is: 463,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,910 : 210,854 = 210,854 : x
  2. Step 2: Convert to fraction form
    95,910/210,854 = 210,854/x
  3. Step 3: Cross multiply
    95,910x = 210,854 × 210,854
  4. Step 4: Simplify right side
    95,910x = 44,459,409,316
  5. Step 5: Solve for x
    x = 44,459,409,316/95,910
  6. Step 6: Final answer
    x = 463,553.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.