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Finding the Third Proportional to 95,090 and 204,220

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Solution

The third proportional to 95,090 and 204,220 is: 438,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,090 : 204,220 = 204,220 : x
  2. Step 2: Convert to fraction form
    95,090/204,220 = 204,220/x
  3. Step 3: Cross multiply
    95,090x = 204,220 × 204,220
  4. Step 4: Simplify right side
    95,090x = 41,705,808,400
  5. Step 5: Solve for x
    x = 41,705,808,400/95,090
  6. Step 6: Final answer
    x = 438,593.00

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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.