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Finding the Third Proportional to 47,366.02 and 103,647.09

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Solution

The third proportional to 47,366.02 and 103,647.09 is: 226,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,366.02 : 103,647.09 = 103,647.09 : x
  2. Step 2: Convert to fraction form
    47,366.02/103,647.09 = 103,647.09/x
  3. Step 3: Cross multiply
    47,366.02x = 103,647.09 × 103,647.09
  4. Step 4: Simplify right side
    47,366.02x = 10,742,720,042.82
  5. Step 5: Solve for x
    x = 10,742,720,042.82/47,366.02
  6. Step 6: Final answer
    x = 226,802.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.