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Finding the Third Proportional to 85,448.25 and 187,005.38

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Solution

The third proportional to 85,448.25 and 187,005.38 is: 409,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,448.25 : 187,005.38 = 187,005.38 : x
  2. Step 2: Convert to fraction form
    85,448.25/187,005.38 = 187,005.38/x
  3. Step 3: Cross multiply
    85,448.25x = 187,005.38 × 187,005.38
  4. Step 4: Simplify right side
    85,448.25x = 34,971,010,278.89
  5. Step 5: Solve for x
    x = 34,971,010,278.89/85,448.25
  6. Step 6: Final answer
    x = 409,265.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.