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Finding the Third Proportional to 99,461 and 214,802

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Solution

The third proportional to 99,461 and 214,802 is: 463,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,461 : 214,802 = 214,802 : x
  2. Step 2: Convert to fraction form
    99,461/214,802 = 214,802/x
  3. Step 3: Cross multiply
    99,461x = 214,802 × 214,802
  4. Step 4: Simplify right side
    99,461x = 46,139,899,204
  5. Step 5: Solve for x
    x = 46,139,899,204/99,461
  6. Step 6: Final answer
    x = 463,899.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.