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Finding the Third Proportional to 47,693.81 and 103,588.69

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Solution

The third proportional to 47,693.81 and 103,588.69 is: 224,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.81 : 103,588.69 = 103,588.69 : x
  2. Step 2: Convert to fraction form
    47,693.81/103,588.69 = 103,588.69/x
  3. Step 3: Cross multiply
    47,693.81x = 103,588.69 × 103,588.69
  4. Step 4: Simplify right side
    47,693.81x = 10,730,616,177.97
  5. Step 5: Solve for x
    x = 10,730,616,177.97/47,693.81
  6. Step 6: Final answer
    x = 224,989.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.