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Finding the Third Proportional to 100,070.44 and 154,780.88

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Solution

The third proportional to 100,070.44 and 154,780.88 is: 239,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,070.44 : 154,780.88 = 154,780.88 : x
  2. Step 2: Convert to fraction form
    100,070.44/154,780.88 = 154,780.88/x
  3. Step 3: Cross multiply
    100,070.44x = 154,780.88 × 154,780.88
  4. Step 4: Simplify right side
    100,070.44x = 23,957,119,265.77
  5. Step 5: Solve for x
    x = 23,957,119,265.77/100,070.44
  6. Step 6: Final answer
    x = 239,402.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.