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Finding the Third Proportional to 47,407.78 and 103,563.56

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Solution

The third proportional to 47,407.78 and 103,563.56 is: 226,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.78 : 103,563.56 = 103,563.56 : x
  2. Step 2: Convert to fraction form
    47,407.78/103,563.56 = 103,563.56/x
  3. Step 3: Cross multiply
    47,407.78x = 103,563.56 × 103,563.56
  4. Step 4: Simplify right side
    47,407.78x = 10,725,411,477.69
  5. Step 5: Solve for x
    x = 10,725,411,477.69/47,407.78
  6. Step 6: Final answer
    x = 226,237.36

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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.