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Finding the Third Proportional to 86,536.13 and 187,833.38

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Solution

The third proportional to 86,536.13 and 187,833.38 is: 407,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,536.13 : 187,833.38 = 187,833.38 : x
  2. Step 2: Convert to fraction form
    86,536.13/187,833.38 = 187,833.38/x
  3. Step 3: Cross multiply
    86,536.13x = 187,833.38 × 187,833.38
  4. Step 4: Simplify right side
    86,536.13x = 35,281,376,763.89
  5. Step 5: Solve for x
    x = 35,281,376,763.89/86,536.13
  6. Step 6: Final answer
    x = 407,706.92

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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.