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Finding the Third Proportional to 43,864 and 93,347

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Solution

The third proportional to 43,864 and 93,347 is: 198,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864 : 93,347 = 93,347 : x
  2. Step 2: Convert to fraction form
    43,864/93,347 = 93,347/x
  3. Step 3: Cross multiply
    43,864x = 93,347 × 93,347
  4. Step 4: Simplify right side
    43,864x = 8,713,662,409
  5. Step 5: Solve for x
    x = 8,713,662,409/43,864
  6. Step 6: Final answer
    x = 198,651.80

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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.