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Finding the Third Proportional to 45,977 and 99,213

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Solution

The third proportional to 45,977 and 99,213 is: 214,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,977 : 99,213 = 99,213 : x
  2. Step 2: Convert to fraction form
    45,977/99,213 = 99,213/x
  3. Step 3: Cross multiply
    45,977x = 99,213 × 99,213
  4. Step 4: Simplify right side
    45,977x = 9,843,219,369
  5. Step 5: Solve for x
    x = 9,843,219,369/45,977
  6. Step 6: Final answer
    x = 214,090.07

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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.