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Finding the Third Proportional to 85,026.75 and 186,820.50

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Solution

The third proportional to 85,026.75 and 186,820.50 is: 410,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,026.75 : 186,820.50 = 186,820.50 : x
  2. Step 2: Convert to fraction form
    85,026.75/186,820.50 = 186,820.50/x
  3. Step 3: Cross multiply
    85,026.75x = 186,820.50 × 186,820.50
  4. Step 4: Simplify right side
    85,026.75x = 34,901,899,220.25
  5. Step 5: Solve for x
    x = 34,901,899,220.25/85,026.75
  6. Step 6: Final answer
    x = 410,481.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.