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Finding the Third Proportional to 64,785.38 and 98,083.97

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Solution

The third proportional to 64,785.38 and 98,083.97 is: 148,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,785.38 : 98,083.97 = 98,083.97 : x
  2. Step 2: Convert to fraction form
    64,785.38/98,083.97 = 98,083.97/x
  3. Step 3: Cross multiply
    64,785.38x = 98,083.97 × 98,083.97
  4. Step 4: Simplify right side
    64,785.38x = 9,620,464,925.75
  5. Step 5: Solve for x
    x = 9,620,464,925.75/64,785.38
  6. Step 6: Final answer
    x = 148,497.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.