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Finding the Third Proportional to 96,864.75 and 208,572.75

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Solution

The third proportional to 96,864.75 and 208,572.75 is: 449,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864.75 : 208,572.75 = 208,572.75 : x
  2. Step 2: Convert to fraction form
    96,864.75/208,572.75 = 208,572.75/x
  3. Step 3: Cross multiply
    96,864.75x = 208,572.75 × 208,572.75
  4. Step 4: Simplify right side
    96,864.75x = 43,502,592,042.56
  5. Step 5: Solve for x
    x = 43,502,592,042.56/96,864.75
  6. Step 6: Final answer
    x = 449,106.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.