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Finding the Third Proportional to 95,844.38 and 145,109.81

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Solution

The third proportional to 95,844.38 and 145,109.81 is: 219,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,844.38 : 145,109.81 = 145,109.81 : x
  2. Step 2: Convert to fraction form
    95,844.38/145,109.81 = 145,109.81/x
  3. Step 3: Cross multiply
    95,844.38x = 145,109.81 × 145,109.81
  4. Step 4: Simplify right side
    95,844.38x = 21,056,857,683.79
  5. Step 5: Solve for x
    x = 21,056,857,683.79/95,844.38
  6. Step 6: Final answer
    x = 219,698.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.