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Finding the Third Proportional to 96,293.75 and 214,715.75

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Solution

The third proportional to 96,293.75 and 214,715.75 is: 478,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,293.75 : 214,715.75 = 214,715.75 : x
  2. Step 2: Convert to fraction form
    96,293.75/214,715.75 = 214,715.75/x
  3. Step 3: Cross multiply
    96,293.75x = 214,715.75 × 214,715.75
  4. Step 4: Simplify right side
    96,293.75x = 46,102,853,298.06
  5. Step 5: Solve for x
    x = 46,102,853,298.06/96,293.75
  6. Step 6: Final answer
    x = 478,773.06

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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.