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Finding the Third Proportional to 95,940 and 210,912

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Solution

The third proportional to 95,940 and 210,912 is: 463,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,940 : 210,912 = 210,912 : x
  2. Step 2: Convert to fraction form
    95,940/210,912 = 210,912/x
  3. Step 3: Cross multiply
    95,940x = 210,912 × 210,912
  4. Step 4: Simplify right side
    95,940x = 44,483,871,744
  5. Step 5: Solve for x
    x = 44,483,871,744/95,940
  6. Step 6: Final answer
    x = 463,663.45

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