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Finding the Third Proportional to 137,016,647 and 197,965,386

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Solution

The third proportional to 137,016,647 and 197,965,386 is: 286,025,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,016,647 : 197,965,386 = 197,965,386 : x
  2. Step 2: Convert to fraction form
    137,016,647/197,965,386 = 197,965,386/x
  3. Step 3: Cross multiply
    137,016,647x = 197,965,386 × 197,965,386
  4. Step 4: Simplify right side
    137,016,647x = 39,190,294,054,128,992
  5. Step 5: Solve for x
    x = 39,190,294,054,128,992/137,016,647
  6. Step 6: Final answer
    x = 286,025,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.