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Finding the Third Proportional to 47,626.13 and 102,420.63

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Solution

The third proportional to 47,626.13 and 102,420.63 is: 220,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,626.13 : 102,420.63 = 102,420.63 : x
  2. Step 2: Convert to fraction form
    47,626.13/102,420.63 = 102,420.63/x
  3. Step 3: Cross multiply
    47,626.13x = 102,420.63 × 102,420.63
  4. Step 4: Simplify right side
    47,626.13x = 10,489,984,425.39
  5. Step 5: Solve for x
    x = 10,489,984,425.39/47,626.13
  6. Step 6: Final answer
    x = 220,256.94

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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.