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Finding the Third Proportional to 110,008.13 and 148,555.13

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Solution

The third proportional to 110,008.13 and 148,555.13 is: 200,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008.13 : 148,555.13 = 148,555.13 : x
  2. Step 2: Convert to fraction form
    110,008.13/148,555.13 = 148,555.13/x
  3. Step 3: Cross multiply
    110,008.13x = 148,555.13 × 148,555.13
  4. Step 4: Simplify right side
    110,008.13x = 22,068,625,163.77
  5. Step 5: Solve for x
    x = 22,068,625,163.77/110,008.13
  6. Step 6: Final answer
    x = 200,609.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.