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Finding the Third Proportional to 85,858.50 and 186,009

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Solution

The third proportional to 85,858.50 and 186,009 is: 402,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,858.50 : 186,009 = 186,009 : x
  2. Step 2: Convert to fraction form
    85,858.50/186,009 = 186,009/x
  3. Step 3: Cross multiply
    85,858.50x = 186,009 × 186,009
  4. Step 4: Simplify right side
    85,858.50x = 34,599,348,081
  5. Step 5: Solve for x
    x = 34,599,348,081/85,858.50
  6. Step 6: Final answer
    x = 402,981.05

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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.