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Finding the Third Proportional to 95,905.88 and 208,983.75

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Solution

The third proportional to 95,905.88 and 208,983.75 is: 455,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,905.88 : 208,983.75 = 208,983.75 : x
  2. Step 2: Convert to fraction form
    95,905.88/208,983.75 = 208,983.75/x
  3. Step 3: Cross multiply
    95,905.88x = 208,983.75 × 208,983.75
  4. Step 4: Simplify right side
    95,905.88x = 43,674,207,764.06
  5. Step 5: Solve for x
    x = 43,674,207,764.06/95,905.88
  6. Step 6: Final answer
    x = 455,386.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.