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Finding the Third Proportional to 100,021.50 and 236,106.75

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Solution

The third proportional to 100,021.50 and 236,106.75 is: 557,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,021.50 : 236,106.75 = 236,106.75 : x
  2. Step 2: Convert to fraction form
    100,021.50/236,106.75 = 236,106.75/x
  3. Step 3: Cross multiply
    100,021.50x = 236,106.75 × 236,106.75
  4. Step 4: Simplify right side
    100,021.50x = 55,746,397,395.56
  5. Step 5: Solve for x
    x = 55,746,397,395.56/100,021.50
  6. Step 6: Final answer
    x = 557,344.14

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