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Finding the Third Proportional to 85,818.75 and 186,893.50

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Solution

The third proportional to 85,818.75 and 186,893.50 is: 407,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,818.75 : 186,893.50 = 186,893.50 : x
  2. Step 2: Convert to fraction form
    85,818.75/186,893.50 = 186,893.50/x
  3. Step 3: Cross multiply
    85,818.75x = 186,893.50 × 186,893.50
  4. Step 4: Simplify right side
    85,818.75x = 34,929,180,342.25
  5. Step 5: Solve for x
    x = 34,929,180,342.25/85,818.75
  6. Step 6: Final answer
    x = 407,011.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.