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Finding the Third Proportional to 85,363.88 and 186,988.92

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Solution

The third proportional to 85,363.88 and 186,988.92 is: 409,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,363.88 : 186,988.92 = 186,988.92 : x
  2. Step 2: Convert to fraction form
    85,363.88/186,988.92 = 186,988.92/x
  3. Step 3: Cross multiply
    85,363.88x = 186,988.92 × 186,988.92
  4. Step 4: Simplify right side
    85,363.88x = 34,964,856,903.97
  5. Step 5: Solve for x
    x = 34,964,856,903.97/85,363.88
  6. Step 6: Final answer
    x = 409,597.82

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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.