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Finding the Third Proportional to 47,038.50 and 100,550.25

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Solution

The third proportional to 47,038.50 and 100,550.25 is: 214,937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,038.50 : 100,550.25 = 100,550.25 : x
  2. Step 2: Convert to fraction form
    47,038.50/100,550.25 = 100,550.25/x
  3. Step 3: Cross multiply
    47,038.50x = 100,550.25 × 100,550.25
  4. Step 4: Simplify right side
    47,038.50x = 10,110,352,775.06
  5. Step 5: Solve for x
    x = 10,110,352,775.06/47,038.50
  6. Step 6: Final answer
    x = 214,937.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.