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Finding the Third Proportional to 92,097 and 198,362.25

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Solution

The third proportional to 92,097 and 198,362.25 is: 427,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097 : 198,362.25 = 198,362.25 : x
  2. Step 2: Convert to fraction form
    92,097/198,362.25 = 198,362.25/x
  3. Step 3: Cross multiply
    92,097x = 198,362.25 × 198,362.25
  4. Step 4: Simplify right side
    92,097x = 39,347,582,225.06
  5. Step 5: Solve for x
    x = 39,347,582,225.06/92,097
  6. Step 6: Final answer
    x = 427,240.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.