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Finding the Third Proportional to 100,024.88 and 236,107.69

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Solution

The third proportional to 100,024.88 and 236,107.69 is: 557,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.88 : 236,107.69 = 236,107.69 : x
  2. Step 2: Convert to fraction form
    100,024.88/236,107.69 = 236,107.69/x
  3. Step 3: Cross multiply
    100,024.88x = 236,107.69 × 236,107.69
  4. Step 4: Simplify right side
    100,024.88x = 55,746,840,096.60
  5. Step 5: Solve for x
    x = 55,746,840,096.60/100,024.88
  6. Step 6: Final answer
    x = 557,329.77

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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.