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Finding the Third Proportional to 138,969,169.50 and 185,270,458.50

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Solution

The third proportional to 138,969,169.50 and 185,270,458.50 is: 246,998,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969,169.50 : 185,270,458.50 = 185,270,458.50 : x
  2. Step 2: Convert to fraction form
    138,969,169.50/185,270,458.50 = 185,270,458.50/x
  3. Step 3: Cross multiply
    138,969,169.50x = 185,270,458.50 × 185,270,458.50
  4. Step 4: Simplify right side
    138,969,169.50x = 34,325,142,792,800,224
  5. Step 5: Solve for x
    x = 34,325,142,792,800,224/138,969,169.50
  6. Step 6: Final answer
    x = 246,998,258.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.