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Finding the Third Proportional to 96,420 and 210,912

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Solution

The third proportional to 96,420 and 210,912 is: 461,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,420 : 210,912 = 210,912 : x
  2. Step 2: Convert to fraction form
    96,420/210,912 = 210,912/x
  3. Step 3: Cross multiply
    96,420x = 210,912 × 210,912
  4. Step 4: Simplify right side
    96,420x = 44,483,871,744
  5. Step 5: Solve for x
    x = 44,483,871,744/96,420
  6. Step 6: Final answer
    x = 461,355.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.