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Finding the Third Proportional to 99,012 and 201,468

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Solution

The third proportional to 99,012 and 201,468 is: 409,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012 : 201,468 = 201,468 : x
  2. Step 2: Convert to fraction form
    99,012/201,468 = 201,468/x
  3. Step 3: Cross multiply
    99,012x = 201,468 × 201,468
  4. Step 4: Simplify right side
    99,012x = 40,589,355,024
  5. Step 5: Solve for x
    x = 40,589,355,024/99,012
  6. Step 6: Final answer
    x = 409,943.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.