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Finding the Third Proportional to 95,422.50 and 203,967

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Solution

The third proportional to 95,422.50 and 203,967 is: 435,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,422.50 : 203,967 = 203,967 : x
  2. Step 2: Convert to fraction form
    95,422.50/203,967 = 203,967/x
  3. Step 3: Cross multiply
    95,422.50x = 203,967 × 203,967
  4. Step 4: Simplify right side
    95,422.50x = 41,602,537,089
  5. Step 5: Solve for x
    x = 41,602,537,089/95,422.50
  6. Step 6: Final answer
    x = 435,982.47

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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.