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Finding the Third Proportional to 89,376.75 and 195,824.25

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Solution

The third proportional to 89,376.75 and 195,824.25 is: 429,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,376.75 : 195,824.25 = 195,824.25 : x
  2. Step 2: Convert to fraction form
    89,376.75/195,824.25 = 195,824.25/x
  3. Step 3: Cross multiply
    89,376.75x = 195,824.25 × 195,824.25
  4. Step 4: Simplify right side
    89,376.75x = 38,347,136,888.06
  5. Step 5: Solve for x
    x = 38,347,136,888.06/89,376.75
  6. Step 6: Final answer
    x = 429,050.47

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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.