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Finding the Third Proportional to 90,887 and 186,310

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Solution

The third proportional to 90,887 and 186,310 is: 381,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,887 : 186,310 = 186,310 : x
  2. Step 2: Convert to fraction form
    90,887/186,310 = 186,310/x
  3. Step 3: Cross multiply
    90,887x = 186,310 × 186,310
  4. Step 4: Simplify right side
    90,887x = 34,711,416,100
  5. Step 5: Solve for x
    x = 34,711,416,100/90,887
  6. Step 6: Final answer
    x = 381,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.