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Finding the Third Proportional to 85,853.67 and 186,478.14

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Solution

The third proportional to 85,853.67 and 186,478.14 is: 405,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,853.67 : 186,478.14 = 186,478.14 : x
  2. Step 2: Convert to fraction form
    85,853.67/186,478.14 = 186,478.14/x
  3. Step 3: Cross multiply
    85,853.67x = 186,478.14 × 186,478.14
  4. Step 4: Simplify right side
    85,853.67x = 34,774,095,474.10
  5. Step 5: Solve for x
    x = 34,774,095,474.10/85,853.67
  6. Step 6: Final answer
    x = 405,039.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.