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Finding the Third Proportional to 100,033 and 236,133.50

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Solution

The third proportional to 100,033 and 236,133.50 is: 557,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033 : 236,133.50 = 236,133.50 : x
  2. Step 2: Convert to fraction form
    100,033/236,133.50 = 236,133.50/x
  3. Step 3: Cross multiply
    100,033x = 236,133.50 × 236,133.50
  4. Step 4: Simplify right side
    100,033x = 55,759,029,822.25
  5. Step 5: Solve for x
    x = 55,759,029,822.25/100,033
  6. Step 6: Final answer
    x = 557,406.35

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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.