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Finding the Third Proportional to 47,578.64 and 103,358.53

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Solution

The third proportional to 47,578.64 and 103,358.53 is: 224,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.64 : 103,358.53 = 103,358.53 : x
  2. Step 2: Convert to fraction form
    47,578.64/103,358.53 = 103,358.53/x
  3. Step 3: Cross multiply
    47,578.64x = 103,358.53 × 103,358.53
  4. Step 4: Simplify right side
    47,578.64x = 10,682,985,982.16
  5. Step 5: Solve for x
    x = 10,682,985,982.16/47,578.64
  6. Step 6: Final answer
    x = 224,533.23

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Why These Related Problems?

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