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Finding the Third Proportional to 109,228.88 and 147,575.25

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Solution

The third proportional to 109,228.88 and 147,575.25 is: 199,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,228.88 : 147,575.25 = 147,575.25 : x
  2. Step 2: Convert to fraction form
    109,228.88/147,575.25 = 147,575.25/x
  3. Step 3: Cross multiply
    109,228.88x = 147,575.25 × 147,575.25
  4. Step 4: Simplify right side
    109,228.88x = 21,778,454,412.56
  5. Step 5: Solve for x
    x = 21,778,454,412.56/109,228.88
  6. Step 6: Final answer
    x = 199,383.67

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Why These Related Problems?

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