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Finding the Third Proportional to 96,565.50 and 150,194.25

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Solution

The third proportional to 96,565.50 and 150,194.25 is: 233,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,565.50 : 150,194.25 = 150,194.25 : x
  2. Step 2: Convert to fraction form
    96,565.50/150,194.25 = 150,194.25/x
  3. Step 3: Cross multiply
    96,565.50x = 150,194.25 × 150,194.25
  4. Step 4: Simplify right side
    96,565.50x = 22,558,312,733.06
  5. Step 5: Solve for x
    x = 22,558,312,733.06/96,565.50
  6. Step 6: Final answer
    x = 233,606.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.