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Finding the Third Proportional to 99,277.50 and 214,107

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Solution

The third proportional to 99,277.50 and 214,107 is: 461,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,277.50 : 214,107 = 214,107 : x
  2. Step 2: Convert to fraction form
    99,277.50/214,107 = 214,107/x
  3. Step 3: Cross multiply
    99,277.50x = 214,107 × 214,107
  4. Step 4: Simplify right side
    99,277.50x = 45,841,807,449
  5. Step 5: Solve for x
    x = 45,841,807,449/99,277.50
  6. Step 6: Final answer
    x = 461,754.25

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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.