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Finding the Third Proportional to 95,549 and 204,490

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Solution

The third proportional to 95,549 and 204,490 is: 437,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,549 : 204,490 = 204,490 : x
  2. Step 2: Convert to fraction form
    95,549/204,490 = 204,490/x
  3. Step 3: Cross multiply
    95,549x = 204,490 × 204,490
  4. Step 4: Simplify right side
    95,549x = 41,816,160,100
  5. Step 5: Solve for x
    x = 41,816,160,100/95,549
  6. Step 6: Final answer
    x = 437,641.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.