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Finding the Third Proportional to 89,683.88 and 190,302.75

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Solution

The third proportional to 89,683.88 and 190,302.75 is: 403,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,683.88 : 190,302.75 = 190,302.75 : x
  2. Step 2: Convert to fraction form
    89,683.88/190,302.75 = 190,302.75/x
  3. Step 3: Cross multiply
    89,683.88x = 190,302.75 × 190,302.75
  4. Step 4: Simplify right side
    89,683.88x = 36,215,136,657.56
  5. Step 5: Solve for x
    x = 36,215,136,657.56/89,683.88
  6. Step 6: Final answer
    x = 403,808.79

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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.