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Finding the Third Proportional to 47,400.19 and 103,168.69

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Solution

The third proportional to 47,400.19 and 103,168.69 is: 224,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400.19 : 103,168.69 = 103,168.69 : x
  2. Step 2: Convert to fraction form
    47,400.19/103,168.69 = 103,168.69/x
  3. Step 3: Cross multiply
    47,400.19x = 103,168.69 × 103,168.69
  4. Step 4: Simplify right side
    47,400.19x = 10,643,778,080.47
  5. Step 5: Solve for x
    x = 10,643,778,080.47/47,400.19
  6. Step 6: Final answer
    x = 224,551.39

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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.