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Finding the Third Proportional to 47,665.38 and 103,630.50

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Solution

The third proportional to 47,665.38 and 103,630.50 is: 225,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665.38 : 103,630.50 = 103,630.50 : x
  2. Step 2: Convert to fraction form
    47,665.38/103,630.50 = 103,630.50/x
  3. Step 3: Cross multiply
    47,665.38x = 103,630.50 × 103,630.50
  4. Step 4: Simplify right side
    47,665.38x = 10,739,280,530.25
  5. Step 5: Solve for x
    x = 10,739,280,530.25/47,665.38
  6. Step 6: Final answer
    x = 225,305.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.