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Finding the Third Proportional to 44,428.50 and 106,221.38

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Solution

The third proportional to 44,428.50 and 106,221.38 is: 253,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,428.50 : 106,221.38 = 106,221.38 : x
  2. Step 2: Convert to fraction form
    44,428.50/106,221.38 = 106,221.38/x
  3. Step 3: Cross multiply
    44,428.50x = 106,221.38 × 106,221.38
  4. Step 4: Simplify right side
    44,428.50x = 11,282,980,506.89
  5. Step 5: Solve for x
    x = 11,282,980,506.89/44,428.50
  6. Step 6: Final answer
    x = 253,958.17

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.