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Finding the Third Proportional to 95,564 and 200,423

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Solution

The third proportional to 95,564 and 200,423 is: 420,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,564 : 200,423 = 200,423 : x
  2. Step 2: Convert to fraction form
    95,564/200,423 = 200,423/x
  3. Step 3: Cross multiply
    95,564x = 200,423 × 200,423
  4. Step 4: Simplify right side
    95,564x = 40,169,378,929
  5. Step 5: Solve for x
    x = 40,169,378,929/95,564
  6. Step 6: Final answer
    x = 420,340.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.