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Finding the Third Proportional to 85,508.16 and 197,931.09

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Solution

The third proportional to 85,508.16 and 197,931.09 is: 458,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,508.16 : 197,931.09 = 197,931.09 : x
  2. Step 2: Convert to fraction form
    85,508.16/197,931.09 = 197,931.09/x
  3. Step 3: Cross multiply
    85,508.16x = 197,931.09 × 197,931.09
  4. Step 4: Simplify right side
    85,508.16x = 39,176,717,873.07
  5. Step 5: Solve for x
    x = 39,176,717,873.07/85,508.16
  6. Step 6: Final answer
    x = 458,163.52

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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.