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Finding the Third Proportional to 85,478.81 and 197,867.97

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Solution

The third proportional to 85,478.81 and 197,867.97 is: 458,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,478.81 : 197,867.97 = 197,867.97 : x
  2. Step 2: Convert to fraction form
    85,478.81/197,867.97 = 197,867.97/x
  3. Step 3: Cross multiply
    85,478.81x = 197,867.97 × 197,867.97
  4. Step 4: Simplify right side
    85,478.81x = 39,151,733,830.17
  5. Step 5: Solve for x
    x = 39,151,733,830.17/85,478.81
  6. Step 6: Final answer
    x = 458,028.53

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.