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Finding the Third Proportional to 99,274.50 and 214,101

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Solution

The third proportional to 99,274.50 and 214,101 is: 461,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,274.50 : 214,101 = 214,101 : x
  2. Step 2: Convert to fraction form
    99,274.50/214,101 = 214,101/x
  3. Step 3: Cross multiply
    99,274.50x = 214,101 × 214,101
  4. Step 4: Simplify right side
    99,274.50x = 45,839,238,201
  5. Step 5: Solve for x
    x = 45,839,238,201/99,274.50
  6. Step 6: Final answer
    x = 461,742.32

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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.