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Finding the Third Proportional to 89,307.25 and 190,896.75

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Solution

The third proportional to 89,307.25 and 190,896.75 is: 408,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307.25 : 190,896.75 = 190,896.75 : x
  2. Step 2: Convert to fraction form
    89,307.25/190,896.75 = 190,896.75/x
  3. Step 3: Cross multiply
    89,307.25x = 190,896.75 × 190,896.75
  4. Step 4: Simplify right side
    89,307.25x = 36,441,569,160.56
  5. Step 5: Solve for x
    x = 36,441,569,160.56/89,307.25
  6. Step 6: Final answer
    x = 408,047.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.