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Finding the Third Proportional to 109,498.08 and 166,303.13

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Solution

The third proportional to 109,498.08 and 166,303.13 is: 252,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,498.08 : 166,303.13 = 166,303.13 : x
  2. Step 2: Convert to fraction form
    109,498.08/166,303.13 = 166,303.13/x
  3. Step 3: Cross multiply
    109,498.08x = 166,303.13 × 166,303.13
  4. Step 4: Simplify right side
    109,498.08x = 27,656,729,384.77
  5. Step 5: Solve for x
    x = 27,656,729,384.77/109,498.08
  6. Step 6: Final answer
    x = 252,577.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.