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Finding the Third Proportional to 96,823 and 210,871

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Solution

The third proportional to 96,823 and 210,871 is: 459,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,823 : 210,871 = 210,871 : x
  2. Step 2: Convert to fraction form
    96,823/210,871 = 210,871/x
  3. Step 3: Cross multiply
    96,823x = 210,871 × 210,871
  4. Step 4: Simplify right side
    96,823x = 44,466,578,641
  5. Step 5: Solve for x
    x = 44,466,578,641/96,823
  6. Step 6: Final answer
    x = 459,256.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.