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Finding the Third Proportional to 96,883.59 and 207,781.03

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Solution

The third proportional to 96,883.59 and 207,781.03 is: 445,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,883.59 : 207,781.03 = 207,781.03 : x
  2. Step 2: Convert to fraction form
    96,883.59/207,781.03 = 207,781.03/x
  3. Step 3: Cross multiply
    96,883.59x = 207,781.03 × 207,781.03
  4. Step 4: Simplify right side
    96,883.59x = 43,172,956,947.31
  5. Step 5: Solve for x
    x = 43,172,956,947.31/96,883.59
  6. Step 6: Final answer
    x = 445,616.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.