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Finding the Third Proportional to 47,216 and 103,018

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Solution

The third proportional to 47,216 and 103,018 is: 224,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,216 : 103,018 = 103,018 : x
  2. Step 2: Convert to fraction form
    47,216/103,018 = 103,018/x
  3. Step 3: Cross multiply
    47,216x = 103,018 × 103,018
  4. Step 4: Simplify right side
    47,216x = 10,612,708,324
  5. Step 5: Solve for x
    x = 10,612,708,324/47,216
  6. Step 6: Final answer
    x = 224,769.32

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Why These Related Problems?

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