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Finding the Third Proportional to 86,681.81 and 187,579.13

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Solution

The third proportional to 86,681.81 and 187,579.13 is: 405,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,681.81 : 187,579.13 = 187,579.13 : x
  2. Step 2: Convert to fraction form
    86,681.81/187,579.13 = 187,579.13/x
  3. Step 3: Cross multiply
    86,681.81x = 187,579.13 × 187,579.13
  4. Step 4: Simplify right side
    86,681.81x = 35,185,928,135.77
  5. Step 5: Solve for x
    x = 35,185,928,135.77/86,681.81
  6. Step 6: Final answer
    x = 405,920.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.