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Finding the Third Proportional to 40,196.25 and 88,275.38

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Solution

The third proportional to 40,196.25 and 88,275.38 is: 193,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.25 : 88,275.38 = 88,275.38 : x
  2. Step 2: Convert to fraction form
    40,196.25/88,275.38 = 88,275.38/x
  3. Step 3: Cross multiply
    40,196.25x = 88,275.38 × 88,275.38
  4. Step 4: Simplify right side
    40,196.25x = 7,792,541,831.39
  5. Step 5: Solve for x
    x = 7,792,541,831.39/40,196.25
  6. Step 6: Final answer
    x = 193,862.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.