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Finding the Third Proportional to 96,653.67 and 202,109.34

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Solution

The third proportional to 96,653.67 and 202,109.34 is: 422,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,653.67 : 202,109.34 = 202,109.34 : x
  2. Step 2: Convert to fraction form
    96,653.67/202,109.34 = 202,109.34/x
  3. Step 3: Cross multiply
    96,653.67x = 202,109.34 × 202,109.34
  4. Step 4: Simplify right side
    96,653.67x = 40,848,186,831.06
  5. Step 5: Solve for x
    x = 40,848,186,831.06/96,653.67
  6. Step 6: Final answer
    x = 422,624.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.