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Finding the Third Proportional to 110,091 and 153,184.50

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Solution

The third proportional to 110,091 and 153,184.50 is: 213,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,091 : 153,184.50 = 153,184.50 : x
  2. Step 2: Convert to fraction form
    110,091/153,184.50 = 153,184.50/x
  3. Step 3: Cross multiply
    110,091x = 153,184.50 × 153,184.50
  4. Step 4: Simplify right side
    110,091x = 23,465,491,040.25
  5. Step 5: Solve for x
    x = 23,465,491,040.25/110,091
  6. Step 6: Final answer
    x = 213,146.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.