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Finding the Third Proportional to 86,646.50 and 186,185

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Solution

The third proportional to 86,646.50 and 186,185 is: 400,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646.50 : 186,185 = 186,185 : x
  2. Step 2: Convert to fraction form
    86,646.50/186,185 = 186,185/x
  3. Step 3: Cross multiply
    86,646.50x = 186,185 × 186,185
  4. Step 4: Simplify right side
    86,646.50x = 34,664,854,225
  5. Step 5: Solve for x
    x = 34,664,854,225/86,646.50
  6. Step 6: Final answer
    x = 400,072.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.