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Finding the Third Proportional to 50,303.50 and 106,603.75

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Solution

The third proportional to 50,303.50 and 106,603.75 is: 225,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,303.50 : 106,603.75 = 106,603.75 : x
  2. Step 2: Convert to fraction form
    50,303.50/106,603.75 = 106,603.75/x
  3. Step 3: Cross multiply
    50,303.50x = 106,603.75 × 106,603.75
  4. Step 4: Simplify right side
    50,303.50x = 11,364,359,514.06
  5. Step 5: Solve for x
    x = 11,364,359,514.06/50,303.50
  6. Step 6: Final answer
    x = 225,915.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.