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Finding the Third Proportional to 47,035.69 and 100,617.19

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Solution

The third proportional to 47,035.69 and 100,617.19 is: 215,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,035.69 : 100,617.19 = 100,617.19 : x
  2. Step 2: Convert to fraction form
    47,035.69/100,617.19 = 100,617.19/x
  3. Step 3: Cross multiply
    47,035.69x = 100,617.19 × 100,617.19
  4. Step 4: Simplify right side
    47,035.69x = 10,123,818,420.41
  5. Step 5: Solve for x
    x = 10,123,818,420.41/47,035.69
  6. Step 6: Final answer
    x = 215,236.96

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Why These Related Problems?

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