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Finding the Third Proportional to 95,146.75 and 207,244.75

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Solution

The third proportional to 95,146.75 and 207,244.75 is: 451,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,146.75 : 207,244.75 = 207,244.75 : x
  2. Step 2: Convert to fraction form
    95,146.75/207,244.75 = 207,244.75/x
  3. Step 3: Cross multiply
    95,146.75x = 207,244.75 × 207,244.75
  4. Step 4: Simplify right side
    95,146.75x = 42,950,386,402.56
  5. Step 5: Solve for x
    x = 42,950,386,402.56/95,146.75
  6. Step 6: Final answer
    x = 451,412.02

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