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Finding the Third Proportional to 91,624 and 198,054

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Solution

The third proportional to 91,624 and 198,054 is: 428,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,624 : 198,054 = 198,054 : x
  2. Step 2: Convert to fraction form
    91,624/198,054 = 198,054/x
  3. Step 3: Cross multiply
    91,624x = 198,054 × 198,054
  4. Step 4: Simplify right side
    91,624x = 39,225,386,916
  5. Step 5: Solve for x
    x = 39,225,386,916/91,624
  6. Step 6: Final answer
    x = 428,112.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.