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Finding the Third Proportional to 40,646.81 and 86,943.38

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Solution

The third proportional to 40,646.81 and 86,943.38 is: 185,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,646.81 : 86,943.38 = 86,943.38 : x
  2. Step 2: Convert to fraction form
    40,646.81/86,943.38 = 86,943.38/x
  3. Step 3: Cross multiply
    40,646.81x = 86,943.38 × 86,943.38
  4. Step 4: Simplify right side
    40,646.81x = 7,559,150,456.39
  5. Step 5: Solve for x
    x = 7,559,150,456.39/40,646.81
  6. Step 6: Final answer
    x = 185,971.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.