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Finding the Third Proportional to 99,273 and 214,097

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Solution

The third proportional to 99,273 and 214,097 is: 461,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,273 : 214,097 = 214,097 : x
  2. Step 2: Convert to fraction form
    99,273/214,097 = 214,097/x
  3. Step 3: Cross multiply
    99,273x = 214,097 × 214,097
  4. Step 4: Simplify right side
    99,273x = 45,837,525,409
  5. Step 5: Solve for x
    x = 45,837,525,409/99,273
  6. Step 6: Final answer
    x = 461,732.05

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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.