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Finding the Third Proportional to 43,914 and 96,030

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Solution

The third proportional to 43,914 and 96,030 is: 209,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,914 : 96,030 = 96,030 : x
  2. Step 2: Convert to fraction form
    43,914/96,030 = 96,030/x
  3. Step 3: Cross multiply
    43,914x = 96,030 × 96,030
  4. Step 4: Simplify right side
    43,914x = 9,221,760,900
  5. Step 5: Solve for x
    x = 9,221,760,900/43,914
  6. Step 6: Final answer
    x = 209,995.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.