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Finding the Third Proportional to 88,867.13 and 194,954.06

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Solution

The third proportional to 88,867.13 and 194,954.06 is: 427,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,867.13 : 194,954.06 = 194,954.06 : x
  2. Step 2: Convert to fraction form
    88,867.13/194,954.06 = 194,954.06/x
  3. Step 3: Cross multiply
    88,867.13x = 194,954.06 × 194,954.06
  4. Step 4: Simplify right side
    88,867.13x = 38,007,086,485.25
  5. Step 5: Solve for x
    x = 38,007,086,485.25/88,867.13
  6. Step 6: Final answer
    x = 427,684.44

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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.