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Finding the Third Proportional to 48,434 and 99,964

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Solution

The third proportional to 48,434 and 99,964 is: 206,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,434 : 99,964 = 99,964 : x
  2. Step 2: Convert to fraction form
    48,434/99,964 = 99,964/x
  3. Step 3: Cross multiply
    48,434x = 99,964 × 99,964
  4. Step 4: Simplify right side
    48,434x = 9,992,801,296
  5. Step 5: Solve for x
    x = 9,992,801,296/48,434
  6. Step 6: Final answer
    x = 206,317.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.