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Finding the Third Proportional to 47,985.75 and 103,260.94

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Solution

The third proportional to 47,985.75 and 103,260.94 is: 222,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.75 : 103,260.94 = 103,260.94 : x
  2. Step 2: Convert to fraction form
    47,985.75/103,260.94 = 103,260.94/x
  3. Step 3: Cross multiply
    47,985.75x = 103,260.94 × 103,260.94
  4. Step 4: Simplify right side
    47,985.75x = 10,662,821,213.38
  5. Step 5: Solve for x
    x = 10,662,821,213.38/47,985.75
  6. Step 6: Final answer
    x = 222,208.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.