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Finding the Third Proportional to 47,980.69 and 110,929.50

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Solution

The third proportional to 47,980.69 and 110,929.50 is: 256,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.69 : 110,929.50 = 110,929.50 : x
  2. Step 2: Convert to fraction form
    47,980.69/110,929.50 = 110,929.50/x
  3. Step 3: Cross multiply
    47,980.69x = 110,929.50 × 110,929.50
  4. Step 4: Simplify right side
    47,980.69x = 12,305,353,970.25
  5. Step 5: Solve for x
    x = 12,305,353,970.25/47,980.69
  6. Step 6: Final answer
    x = 256,464.73

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.