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Finding the Third Proportional to 44,983 and 96,195

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Solution

The third proportional to 44,983 and 96,195 is: 205,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,983 : 96,195 = 96,195 : x
  2. Step 2: Convert to fraction form
    44,983/96,195 = 96,195/x
  3. Step 3: Cross multiply
    44,983x = 96,195 × 96,195
  4. Step 4: Simplify right side
    44,983x = 9,253,478,025
  5. Step 5: Solve for x
    x = 9,253,478,025/44,983
  6. Step 6: Final answer
    x = 205,710.56

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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.