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Finding the Third Proportional to 98,145 and 211,833

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Solution

The third proportional to 98,145 and 211,833 is: 457,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145 : 211,833 = 211,833 : x
  2. Step 2: Convert to fraction form
    98,145/211,833 = 211,833/x
  3. Step 3: Cross multiply
    98,145x = 211,833 × 211,833
  4. Step 4: Simplify right side
    98,145x = 44,873,219,889
  5. Step 5: Solve for x
    x = 44,873,219,889/98,145
  6. Step 6: Final answer
    x = 457,213.51

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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.