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Finding the Third Proportional to 69,503.44 and 151,480.88

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Solution

The third proportional to 69,503.44 and 151,480.88 is: 330,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,503.44 : 151,480.88 = 151,480.88 : x
  2. Step 2: Convert to fraction form
    69,503.44/151,480.88 = 151,480.88/x
  3. Step 3: Cross multiply
    69,503.44x = 151,480.88 × 151,480.88
  4. Step 4: Simplify right side
    69,503.44x = 22,946,455,490.77
  5. Step 5: Solve for x
    x = 22,946,455,490.77/69,503.44
  6. Step 6: Final answer
    x = 330,148.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.