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Finding the Third Proportional to 38,258.06 and 83,292.19

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Solution

The third proportional to 38,258.06 and 83,292.19 is: 181,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,258.06 : 83,292.19 = 83,292.19 : x
  2. Step 2: Convert to fraction form
    38,258.06/83,292.19 = 83,292.19/x
  3. Step 3: Cross multiply
    38,258.06x = 83,292.19 × 83,292.19
  4. Step 4: Simplify right side
    38,258.06x = 6,937,588,498.54
  5. Step 5: Solve for x
    x = 6,937,588,498.54/38,258.06
  6. Step 6: Final answer
    x = 181,336.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.