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Finding the Third Proportional to 100,021.50 and 236,098.13

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Solution

The third proportional to 100,021.50 and 236,098.13 is: 557,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.50 : 236,098.13 = 236,098.13 : x
  2. Step 2: Convert to fraction form
    100,021.50/236,098.13 = 236,098.13/x
  3. Step 3: Cross multiply
    100,021.50x = 236,098.13 × 236,098.13
  4. Step 4: Simplify right side
    100,021.50x = 55,742,324,628.52
  5. Step 5: Solve for x
    x = 55,742,324,628.52/100,021.50
  6. Step 6: Final answer
    x = 557,303.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.