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Finding the Third Proportional to 92,607 and 204,490.50

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Solution

The third proportional to 92,607 and 204,490.50 is: 451,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,607 : 204,490.50 = 204,490.50 : x
  2. Step 2: Convert to fraction form
    92,607/204,490.50 = 204,490.50/x
  3. Step 3: Cross multiply
    92,607x = 204,490.50 × 204,490.50
  4. Step 4: Simplify right side
    92,607x = 41,816,364,590.25
  5. Step 5: Solve for x
    x = 41,816,364,590.25/92,607
  6. Step 6: Final answer
    x = 451,546.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.