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Finding the Third Proportional to 110,973.16 and 244,568.11

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Solution

The third proportional to 110,973.16 and 244,568.11 is: 538,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,973.16 : 244,568.11 = 244,568.11 : x
  2. Step 2: Convert to fraction form
    110,973.16/244,568.11 = 244,568.11/x
  3. Step 3: Cross multiply
    110,973.16x = 244,568.11 × 244,568.11
  4. Step 4: Simplify right side
    110,973.16x = 59,813,560,123.26
  5. Step 5: Solve for x
    x = 59,813,560,123.26/110,973.16
  6. Step 6: Final answer
    x = 538,991.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.