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Finding the Third Proportional to 43,965.28 and 103,681.27

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Solution

The third proportional to 43,965.28 and 103,681.27 is: 244,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,965.28 : 103,681.27 = 103,681.27 : x
  2. Step 2: Convert to fraction form
    43,965.28/103,681.27 = 103,681.27/x
  3. Step 3: Cross multiply
    43,965.28x = 103,681.27 × 103,681.27
  4. Step 4: Simplify right side
    43,965.28x = 10,749,804,841.60
  5. Step 5: Solve for x
    x = 10,749,804,841.60/43,965.28
  6. Step 6: Final answer
    x = 244,506.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.