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Finding the Third Proportional to 96,294.75 and 214,717.75

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Solution

The third proportional to 96,294.75 and 214,717.75 is: 478,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,294.75 : 214,717.75 = 214,717.75 : x
  2. Step 2: Convert to fraction form
    96,294.75/214,717.75 = 214,717.75/x
  3. Step 3: Cross multiply
    96,294.75x = 214,717.75 × 214,717.75
  4. Step 4: Simplify right side
    96,294.75x = 46,103,712,165.06
  5. Step 5: Solve for x
    x = 46,103,712,165.06/96,294.75
  6. Step 6: Final answer
    x = 478,777.01

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.