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Finding the Third Proportional to 96,747.19 and 227,648.25

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Solution

The third proportional to 96,747.19 and 227,648.25 is: 535,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,747.19 : 227,648.25 = 227,648.25 : x
  2. Step 2: Convert to fraction form
    96,747.19/227,648.25 = 227,648.25/x
  3. Step 3: Cross multiply
    96,747.19x = 227,648.25 × 227,648.25
  4. Step 4: Simplify right side
    96,747.19x = 51,823,725,728.06
  5. Step 5: Solve for x
    x = 51,823,725,728.06/96,747.19
  6. Step 6: Final answer
    x = 535,661.32

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.