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Finding the Third Proportional to 85,011.19 and 186,181.88

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Solution

The third proportional to 85,011.19 and 186,181.88 is: 407,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,011.19 : 186,181.88 = 186,181.88 : x
  2. Step 2: Convert to fraction form
    85,011.19/186,181.88 = 186,181.88/x
  3. Step 3: Cross multiply
    85,011.19x = 186,181.88 × 186,181.88
  4. Step 4: Simplify right side
    85,011.19x = 34,663,690,578.52
  5. Step 5: Solve for x
    x = 34,663,690,578.52/85,011.19
  6. Step 6: Final answer
    x = 407,754.46

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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.