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Finding the Third Proportional to 85,840.13 and 186,457.38

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Solution

The third proportional to 85,840.13 and 186,457.38 is: 405,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840.13 : 186,457.38 = 186,457.38 : x
  2. Step 2: Convert to fraction form
    85,840.13/186,457.38 = 186,457.38/x
  3. Step 3: Cross multiply
    85,840.13x = 186,457.38 × 186,457.38
  4. Step 4: Simplify right side
    85,840.13x = 34,766,352,691.89
  5. Step 5: Solve for x
    x = 34,766,352,691.89/85,840.13
  6. Step 6: Final answer
    x = 405,012.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.