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Finding the Third Proportional to 100,036.50 and 236,145.50

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Solution

The third proportional to 100,036.50 and 236,145.50 is: 557,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036.50 : 236,145.50 = 236,145.50 : x
  2. Step 2: Convert to fraction form
    100,036.50/236,145.50 = 236,145.50/x
  3. Step 3: Cross multiply
    100,036.50x = 236,145.50 × 236,145.50
  4. Step 4: Simplify right side
    100,036.50x = 55,764,697,170.25
  5. Step 5: Solve for x
    x = 55,764,697,170.25/100,036.50
  6. Step 6: Final answer
    x = 557,443.50

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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.