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Finding the Third Proportional to 43,906 and 93,320

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Solution

The third proportional to 43,906 and 93,320 is: 198,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,906 : 93,320 = 93,320 : x
  2. Step 2: Convert to fraction form
    43,906/93,320 = 93,320/x
  3. Step 3: Cross multiply
    43,906x = 93,320 × 93,320
  4. Step 4: Simplify right side
    43,906x = 8,708,622,400
  5. Step 5: Solve for x
    x = 8,708,622,400/43,906
  6. Step 6: Final answer
    x = 198,346.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.