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Finding the Third Proportional to 89,823.75 and 194,598.75

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Solution

The third proportional to 89,823.75 and 194,598.75 is: 421,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,823.75 : 194,598.75 = 194,598.75 : x
  2. Step 2: Convert to fraction form
    89,823.75/194,598.75 = 194,598.75/x
  3. Step 3: Cross multiply
    89,823.75x = 194,598.75 × 194,598.75
  4. Step 4: Simplify right side
    89,823.75x = 37,868,673,501.56
  5. Step 5: Solve for x
    x = 37,868,673,501.56/89,823.75
  6. Step 6: Final answer
    x = 421,588.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.