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Finding the Third Proportional to 85,424.25 and 186,937.50

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Solution

The third proportional to 85,424.25 and 186,937.50 is: 409,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,424.25 : 186,937.50 = 186,937.50 : x
  2. Step 2: Convert to fraction form
    85,424.25/186,937.50 = 186,937.50/x
  3. Step 3: Cross multiply
    85,424.25x = 186,937.50 × 186,937.50
  4. Step 4: Simplify right side
    85,424.25x = 34,945,628,906.25
  5. Step 5: Solve for x
    x = 34,945,628,906.25/85,424.25
  6. Step 6: Final answer
    x = 409,083.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.