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Finding the Third Proportional to 46,999 and 101,789

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Solution

The third proportional to 46,999 and 101,789 is: 220,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999 : 101,789 = 101,789 : x
  2. Step 2: Convert to fraction form
    46,999/101,789 = 101,789/x
  3. Step 3: Cross multiply
    46,999x = 101,789 × 101,789
  4. Step 4: Simplify right side
    46,999x = 10,361,000,521
  5. Step 5: Solve for x
    x = 10,361,000,521/46,999
  6. Step 6: Final answer
    x = 220,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.