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Finding the Third Proportional to 44,444 and 95,008

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Solution

The third proportional to 44,444 and 95,008 is: 203,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,444 : 95,008 = 95,008 : x
  2. Step 2: Convert to fraction form
    44,444/95,008 = 95,008/x
  3. Step 3: Cross multiply
    44,444x = 95,008 × 95,008
  4. Step 4: Simplify right side
    44,444x = 9,026,520,064
  5. Step 5: Solve for x
    x = 9,026,520,064/44,444
  6. Step 6: Final answer
    x = 203,098.73

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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.