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Finding the Third Proportional to 90,841.50 and 185,366.25

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Solution

The third proportional to 90,841.50 and 185,366.25 is: 378,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841.50 : 185,366.25 = 185,366.25 : x
  2. Step 2: Convert to fraction form
    90,841.50/185,366.25 = 185,366.25/x
  3. Step 3: Cross multiply
    90,841.50x = 185,366.25 × 185,366.25
  4. Step 4: Simplify right side
    90,841.50x = 34,360,646,639.06
  5. Step 5: Solve for x
    x = 34,360,646,639.06/90,841.50
  6. Step 6: Final answer
    x = 378,248.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.