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Finding the Third Proportional to 99,271 and 214,093

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Solution

The third proportional to 99,271 and 214,093 is: 461,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,271 : 214,093 = 214,093 : x
  2. Step 2: Convert to fraction form
    99,271/214,093 = 214,093/x
  3. Step 3: Cross multiply
    99,271x = 214,093 × 214,093
  4. Step 4: Simplify right side
    99,271x = 45,835,812,649
  5. Step 5: Solve for x
    x = 45,835,812,649/99,271
  6. Step 6: Final answer
    x = 461,724.10

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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.