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Finding the Third Proportional to 43,371 and 100,397.81

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Solution

The third proportional to 43,371 and 100,397.81 is: 232,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,371 : 100,397.81 = 100,397.81 : x
  2. Step 2: Convert to fraction form
    43,371/100,397.81 = 100,397.81/x
  3. Step 3: Cross multiply
    43,371x = 100,397.81 × 100,397.81
  4. Step 4: Simplify right side
    43,371x = 10,079,720,754.79
  5. Step 5: Solve for x
    x = 10,079,720,754.79/43,371
  6. Step 6: Final answer
    x = 232,406.93

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Why These Related Problems?

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