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Finding the Third Proportional to 92,363.25 and 199,460.25

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Solution

The third proportional to 92,363.25 and 199,460.25 is: 430,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,363.25 : 199,460.25 = 199,460.25 : x
  2. Step 2: Convert to fraction form
    92,363.25/199,460.25 = 199,460.25/x
  3. Step 3: Cross multiply
    92,363.25x = 199,460.25 × 199,460.25
  4. Step 4: Simplify right side
    92,363.25x = 39,784,391,330.06
  5. Step 5: Solve for x
    x = 39,784,391,330.06/92,363.25
  6. Step 6: Final answer
    x = 430,738.32

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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.