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Finding the Third Proportional to 100,046.25 and 236,164.50

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Solution

The third proportional to 100,046.25 and 236,164.50 is: 557,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,046.25 : 236,164.50 = 236,164.50 : x
  2. Step 2: Convert to fraction form
    100,046.25/236,164.50 = 236,164.50/x
  3. Step 3: Cross multiply
    100,046.25x = 236,164.50 × 236,164.50
  4. Step 4: Simplify right side
    100,046.25x = 55,773,671,060.25
  5. Step 5: Solve for x
    x = 55,773,671,060.25/100,046.25
  6. Step 6: Final answer
    x = 557,478.88

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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.