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Finding the Third Proportional to 95,557 and 204,506

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Solution

The third proportional to 95,557 and 204,506 is: 437,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,557 : 204,506 = 204,506 : x
  2. Step 2: Convert to fraction form
    95,557/204,506 = 204,506/x
  3. Step 3: Cross multiply
    95,557x = 204,506 × 204,506
  4. Step 4: Simplify right side
    95,557x = 41,822,704,036
  5. Step 5: Solve for x
    x = 41,822,704,036/95,557
  6. Step 6: Final answer
    x = 437,672.84

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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.