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Finding the Third Proportional to 85,432.88 and 186,949.13

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Solution

The third proportional to 85,432.88 and 186,949.13 is: 409,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432.88 : 186,949.13 = 186,949.13 : x
  2. Step 2: Convert to fraction form
    85,432.88/186,949.13 = 186,949.13/x
  3. Step 3: Cross multiply
    85,432.88x = 186,949.13 × 186,949.13
  4. Step 4: Simplify right side
    85,432.88x = 34,949,975,338.27
  5. Step 5: Solve for x
    x = 34,949,975,338.27/85,432.88
  6. Step 6: Final answer
    x = 409,092.82

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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.