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Finding the Third Proportional to 89,696.25 and 190,325.25

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Solution

The third proportional to 89,696.25 and 190,325.25 is: 403,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,696.25 : 190,325.25 = 190,325.25 : x
  2. Step 2: Convert to fraction form
    89,696.25/190,325.25 = 190,325.25/x
  3. Step 3: Cross multiply
    89,696.25x = 190,325.25 × 190,325.25
  4. Step 4: Simplify right side
    89,696.25x = 36,223,700,787.56
  5. Step 5: Solve for x
    x = 36,223,700,787.56/89,696.25
  6. Step 6: Final answer
    x = 403,848.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.