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Finding the Third Proportional to 47,386.27 and 103,077.56

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Solution

The third proportional to 47,386.27 and 103,077.56 is: 224,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,386.27 : 103,077.56 = 103,077.56 : x
  2. Step 2: Convert to fraction form
    47,386.27/103,077.56 = 103,077.56/x
  3. Step 3: Cross multiply
    47,386.27x = 103,077.56 × 103,077.56
  4. Step 4: Simplify right side
    47,386.27x = 10,624,983,890.94
  5. Step 5: Solve for x
    x = 10,624,983,890.94/47,386.27
  6. Step 6: Final answer
    x = 224,220.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.