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Finding the Third Proportional to 95,286.38 and 210,164.63

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Solution

The third proportional to 95,286.38 and 210,164.63 is: 463,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,286.38 : 210,164.63 = 210,164.63 : x
  2. Step 2: Convert to fraction form
    95,286.38/210,164.63 = 210,164.63/x
  3. Step 3: Cross multiply
    95,286.38x = 210,164.63 × 210,164.63
  4. Step 4: Simplify right side
    95,286.38x = 44,169,169,601.39
  5. Step 5: Solve for x
    x = 44,169,169,601.39/95,286.38
  6. Step 6: Final answer
    x = 463,541.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.